Given numbers are 460,689,717,902

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 460,689,717,902 is 102487936980.

Find LCM of 460,689,717,902 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 230 x 689 x 717 x 451 = 102487936980

Therefore, the lowest common multiple of 460,689,717,902 is 102487936980.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

460 x 689 x 717 x 902 = 204975873960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

689 : 1, 13, 53, 689

717 : 1, 3, 239, 717

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,689,717,902, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

689:13x 53

717:3x 239

902:2x 11x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 204975873960/(1x2)

LCM = 204975873960/2

LCM = 102487936980

Thus, we can understand that the LCM of 460,689,717,902 is 102487936980.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 250, 182, 568, 460
• LCM of 235, 257, 222, 801
• LCM of 750, 554, 419, 222
• LCM of 602, 990, 919, 822
• LCM of 969, 401, 891, 420

1. What is the LCM of 460, 689, 717, 902?

Answer: LCM of 460, 689, 717, 902 is 102487936980.

2. How to calculate the LCM of 460, 689, 717, 902?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 460, 689, 717, 902.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.