Given numbers are 980,464,327,492,972

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

The LCM of 980,464,327,492,972 is 123452728560.

Find LCM of 980,464,327,492,972 with Prime Factorization

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

2 x 2 x 3 x 245 x 116 x 109 x 41 x 81 = 123452728560

Therefore, the lowest common multiple of 980,464,327,492,972 is 123452728560.

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.

980 x 464 x 327 x 492 x 972 = 71108771650560

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

327 : 1, 3, 109, 327

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,464,327,492,972, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

464:2x 2x 2x 2x 29

327:3x 109

492:2x 2x 3x 41

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

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 3 = 576

Therefore, the value for common factors is 576.

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 = 71108771650560/(1x576)

LCM = 71108771650560/576

LCM = 123452728560

Thus, we can understand that the LCM of 980,464,327,492,972 is 123452728560.

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

• LCM of 875, 788, 275, 301, 200
• LCM of 245, 480, 854, 310, 607
• LCM of 686, 304, 403, 302, 168
• LCM of 544, 410, 362, 237, 184
• LCM of 658, 105, 598, 504, 288

1. What is the LCM of 980, 464, 327, 492, 972?

Answer: LCM of 980, 464, 327, 492, 972 is 123452728560.

2. How to calculate the LCM of 980, 464, 327, 492, 972?

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 980, 464, 327, 492, 972.

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}.