#pragma GCC optimize ("O3")
#pragma GCC target ("avx") // yukicoder
// #pragma GCC target ("sse4.2") // SPOJ, codechef

#include <cstdio>
#include <cassert>
#include <cmath>
#include <cstring>

#include <algorithm>
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <functional>
#include <tuple>

#define _rep(_1, _2, _3, _4, name, ...) name
#define rep2(i, n) rep3(i, 0, n)
#define rep3(i, a, b) rep4(i, a, b, 1)
#define rep4(i, a, b, c) for (int i = int(a); i < int(b); i += int(c))
#define rep(...) _rep(__VA_ARGS__, rep4, rep3, rep2, _)(__VA_ARGS__)

using namespace std;

using i64 = long long;
using u8 = unsigned char;
using u32 = unsigned;
using u64 = unsigned long long;
using f80 = long double; 

using factor_t = pair<int, int>;

vector<factor_t> factors(int n) {
  vector<factor_t> ret;
  for (int i = 2; i * i <= n; ++i) {
    if (n % i == 0) {
      int e = 0;
      while (n % i == 0) n /= i, e += 1;
      ret.push_back({i, e});
    }
  }
  if (n) ret.push_back({n, 1});
  return ret;
}

using P = pair<int, int>;
vector<P> div_tot(int n) {
  vector<P> ret;
  ret.push_back({1, 1});
  for (auto pp : factors(n)) {
    int p, e; tie(p, e) = pp;
    int size = ret.size();
    rep(i, size * e) {
      ret.push_back({ret[i].first * p, ret[i].second * (p - (i < size))});
    }
  }
  return ret;
}

const int MOD = 1e9 + 7;
const int S = 1 << 15;

int pows[2][S];

void init_pow(int K) {
  rep(i, 2) {
    int q = 1;
    rep(j, S) {
      pows[i][j] = q;
      q = u64(q) * K % MOD;
    }
    K = q;
  }
}

int pow_mod(int e) {
  return u64(pows[0][e & (S - 1)]) * pows[1][e >> 15] % MOD;
}

int pow_mod(int b, int e) {
  int ret = 1;
  for (; e; e >>= 1, b = u64(b) * b % MOD) {
    if (e & 1) ret = u64(ret) * b % MOD;
  }
  return ret;
}

void solve() {
  int H, W, K;
  while (~scanf("%d %d %d", &H, &W, &K)) {
    init_pow(K);
    auto div1 = div_tot(H);
    auto div2 = div_tot(W);

    u64 ans = 0;
    for (auto dt1 : div1) {
      int d1, t1; tie(d1, t1) = dt1;
      int g1 = __gcd(d1, W);
      u64 M = u64(H) * W / d1;
      for (auto dt2 : div2) {
        int d2, t2; tie(d2, t2) = dt2;
        int g2 = __gcd(d2, g1);
        ans += u64(t1) * t2 % MOD * pow_mod(M / d2 * g2 % (MOD - 1)) % MOD;
      }
    }
    ans = ans % MOD * pow_mod(H * W, MOD - 2) % MOD;
    printf("%llu\n", ans % MOD);
  }
}

int main() {
  clock_t beg = clock();
  solve();
  clock_t end = clock();
  fprintf(stderr, "%.3f sec\n", double(end - beg) / CLOCKS_PER_SEC);
  return 0;
}