```go
package main

import (
	"bufio"
	"fmt"
	"os"
)

func gcd(a, b int64) int64 {
	for b != 0 {
		a, b = b, a%b
	}
	return a
}

func main() {
	in := bufio.NewReader(os.Stdin)
	out := bufio.NewWriter(os.Stdout)
	defer out.Flush()

	var t int
	fmt.Fscan(in, &t)

	const mod int64 = 1000000007

	for i := 0; i < t; i++ {
		var n int64
		fmt.Fscan(in, &n)

		ans := n % mod
		lcm := int64(1)

		for j := int64(1); ; j++ {
			g := gcd(lcm, j)
			lcm = (lcm / g) * j

			if lcm > n {
				break
			}

			term := (n / lcm) % mod
			ans = (ans + term) % mod
		}
		fmt.Fprintln(out, ans)
	}
}
```