Given numbers are 657,518,960,407

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

The LCM of 657,518,960,407 is 598973760.

Find LCM of 657,518,960,407 with Prime Factorization

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

2 x 3 x 37 x 219 x 7 x 160 x 11 = 598973760

Therefore, the lowest common multiple of 657,518,960,407 is 598973760.

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.

657 x 518 x 960 x 407 = 132972174720

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.

657 : 1, 3, 9, 73, 219, 657

518 : 1, 2, 7, 14, 37, 74, 259, 518

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,518,960,407, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

518:2x 7x 37

960:2x 2x 2x 2x 2x 2x 3x 5

407:11x 37

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

2x 3x 37 = 222

Therefore, the value for common factors is 222.

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 = 132972174720/(1x222)

LCM = 132972174720/222

LCM = 598973760

Thus, we can understand that the LCM of 657,518,960,407 is 598973760.

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

• LCM of 143, 200, 234, 872
• LCM of 193, 654, 411, 204
• LCM of 152, 545, 540, 133
• LCM of 107, 966, 824, 563
• LCM of 491, 855, 225, 973

1. What is the LCM of 657, 518, 960, 407?

Answer: LCM of 657, 518, 960, 407 is 598973760.

2. How to calculate the LCM of 657, 518, 960, 407?

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 657, 518, 960, 407.

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}.