#include "bits/stdc++.h" #define REP(i, n, N) for(ll i=(n); i<(N); i++) #define RREP(i, n, N) for(ll i=(N-1); i>=n; i--) #define CK(n, a, b) ((a)<=(n)&&(n)<(b)) #define ALL(v) (v).begin(),(v).end() #define p(s) cout<<(s)<> typedef long long int ll; using namespace std; const ll mod = 1e9 + 7; const ll inf = 1e18; struct CRT { vector> v; void add(ll a, ll m) { v.push_back({ a, m }); } // x = a (mod m) set enumpr(ll n) { set V; for (ll i = 2; i*i <= n; i++) while (n%i == 0) V.insert(i), n /= i; if (n>1) V.insert(n); return V; } ll ext_gcd(ll p, ll q, ll& x, ll& y) { if (q == 0) return x = 1, y = 0, p; ll g = ext_gcd(q, p%q, y, x); y -= p / q*x; return g; } ll inv(ll p, ll q) { ll xx, yy, g = ext_gcd(p, q, xx, yy); if (xx<0) xx += q, yy -= p; return xx; } ll solve(ll mo = 1000000007) { string s; int N = v.size(); set P; vector num; REP(i, 0, N) { set S = enumpr(v[i].second); for(ll r : S) P.insert(r);} num = vector(N, 0); for(ll r : P) { int y = 0; REP(x, 0, N) { num[x] = 1; int j = v[x].second; while (j%r == 0) j /= r, num[x] *= r; if (num[y] > V2; REP(x, 0, N) if (v[x].second>1) V2.emplace_back(v[x].second, v[x].first); sort(V2.begin(), V2.end()); v = V2; N = v.size(); REP(y, 0, N) REP(x, 0, y) { ll k = v[y].second - v[x].second; if (k<0) k += v[y].first; v[y].second = k*inv(v[x].first, v[y].first) % v[y].first; } ll ret = 0; for (int x = N - 1; x >= 0; x--) ret = (ret*v[x].first + v[x].second) % mo; return ret; } }; ll gcd(ll a, ll b) { return a ? gcd(b%a, a) : b; } ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } ll X[3], Y[3]; int main() { CRT crt; REP(i,0,3){ cin>>X[i]>>Y[i]; crt.add(X[i],Y[i]); } ll ans=crt.solve(inf); if (ans == 0) ans = lcm(Y[0], lcm(Y[1], Y[2])); p(ans); }