Given numbers are 708,156,312,914,868

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

The LCM of 708,156,312,914,868 is 1825502952.

Find LCM of 708,156,312,914,868 with Prime Factorization

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

2 x 2 x 3 x 13 x 59 x 1 x 2 x 457 x 217 = 1825502952

Therefore, the lowest common multiple of 708,156,312,914,868 is 1825502952.

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 156 x 312 x 914 x 868 = 27338732209152

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

914 : 1, 2, 457, 914

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,156,312,914,868, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

156:2x 2x 3x 13

312:2x 2x 2x 3x 13

914:2x 457

868:2x 2x 7x 31

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 2x 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 27338732209152/(2x7488)

LCM = 27338732209152/14976

LCM = 1825502952

Thus, we can understand that the LCM of 708,156,312,914,868 is 1825502952.

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

• LCM of 308, 549, 443, 492, 302
• LCM of 360, 796, 137, 854, 815
• LCM of 981, 911, 819, 395, 308
• LCM of 436, 935, 231, 118, 681
• LCM of 981, 640, 675, 973, 818

1. What is the LCM of 708, 156, 312, 914, 868?

Answer: LCM of 708, 156, 312, 914, 868 is 1825502952.

2. How to calculate the LCM of 708, 156, 312, 914, 868?

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, 156, 312, 914, 868.

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}.