Given numbers are 972,321,776,118,495

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

The LCM of 972,321,776,118,495 is 65473638120.

Find LCM of 972,321,776,118,495 with Prime Factorization

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

2 x 2 x 3 x 3 x 27 x 107 x 194 x 59 x 55 = 65473638120

Therefore, the lowest common multiple of 972,321,776,118,495 is 65473638120.

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.

972 x 321 x 776 x 118 x 495 = 14142305833920

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

321 : 1, 3, 107, 321

776 : 1, 2, 4, 8, 97, 194, 388, 776

118 : 1, 2, 59, 118

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,321,776,118,495, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

321:3x 107

776:2x 2x 2x 97

118:2x 59

495:3x 3x 5x 11

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 14142305833920/(1x216)

LCM = 14142305833920/216

LCM = 65473638120

Thus, we can understand that the LCM of 972,321,776,118,495 is 65473638120.

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

• LCM of 476, 758, 887, 247, 162
• LCM of 243, 793, 532, 410, 793
• LCM of 856, 397, 660, 929, 270
• LCM of 467, 479, 109, 411, 225
• LCM of 476, 503, 260, 797, 500

1. What is the LCM of 972, 321, 776, 118, 495?

Answer: LCM of 972, 321, 776, 118, 495 is 65473638120.

2. How to calculate the LCM of 972, 321, 776, 118, 495?

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 972, 321, 776, 118, 495.

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}.