Given numbers are 107,354,478,432,970

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

The LCM of 107,354,478,432,970 is 316125242640.

Find LCM of 107,354,478,432,970 with Prime Factorization

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

2 x 3 x 107 x 59 x 239 x 72 x 485 = 316125242640

Therefore, the lowest common multiple of 107,354,478,432,970 is 316125242640.

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.

107 x 354 x 478 x 432 x 970 = 7587005823360

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.

107 : 1, 107

354 : 1, 2, 3, 6, 59, 118, 177, 354

478 : 1, 2, 239, 478

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,354,478,432,970, is 1.

Now, the common factors can be found like this.

107:107

354:2x 3x 59

478:2x 239

432:2x 2x 2x 2x 3x 3x 3

970:2x 5x 97

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 7587005823360/(1x24)

LCM = 7587005823360/24

LCM = 316125242640

Thus, we can understand that the LCM of 107,354,478,432,970 is 316125242640.

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

• LCM of 342, 810, 594, 309, 515
• LCM of 939, 997, 608, 515, 435
• LCM of 968, 735, 596, 214, 810
• LCM of 862, 228, 254, 811, 250
• LCM of 638, 428, 351, 947, 473

1. What is the LCM of 107, 354, 478, 432, 970?

Answer: LCM of 107, 354, 478, 432, 970 is 316125242640.

2. How to calculate the LCM of 107, 354, 478, 432, 970?

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 107, 354, 478, 432, 970.

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}.