Given numbers are 708,149,516,432,107

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

The LCM of 708,149,516,432,107 is 17473272912.

Find LCM of 708,149,516,432,107 with Prime Factorization

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

2 x 2 x 3 x 59 x 149 x 43 x 36 x 107 = 17473272912

Therefore, the lowest common multiple of 708,149,516,432,107 is 17473272912.

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.

708 x 149 x 516 x 432 x 107 = 2516151299328

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

149 : 1, 149

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,149,516,432,107, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

149:149

516:2x 2x 3x 43

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

107:107

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 2516151299328/(1x144)

LCM = 2516151299328/144

LCM = 17473272912

Thus, we can understand that the LCM of 708,149,516,432,107 is 17473272912.

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

• LCM of 624, 487, 820, 978, 521
• LCM of 195, 968, 467, 576, 961
• LCM of 102, 228, 205, 815, 362
• LCM of 279, 487, 487, 839, 926
• LCM of 485, 748, 266, 989, 743

1. What is the LCM of 708, 149, 516, 432, 107?

Answer: LCM of 708, 149, 516, 432, 107 is 17473272912.

2. How to calculate the LCM of 708, 149, 516, 432, 107?

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 708, 149, 516, 432, 107.

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}.