Given numbers are 464,299,143,672,980

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

The LCM of 464,299,143,672,980 is 2243361120.

Find LCM of 464,299,143,672,980 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 13 x 29 x 23 x 11 x 6 x 35 = 2243361120

Therefore, the lowest common multiple of 464,299,143,672,980 is 2243361120.

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.

464 x 299 x 143 x 672 x 980 = 13065335162880

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.

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

299 : 1, 13, 23, 299

143 : 1, 11, 13, 143

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,299,143,672,980, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

299:13x 23

143:11x 13

672:2x 2x 2x 2x 2x 3x 7

980:2x 2x 5x 7x 7

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 7x 13 = 5824

Therefore, the value for common factors is 5824.

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 = 13065335162880/(1x5824)

LCM = 13065335162880/5824

LCM = 2243361120

Thus, we can understand that the LCM of 464,299,143,672,980 is 2243361120.

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

• LCM of 860, 735, 650, 339, 557
• LCM of 429, 479, 391, 533, 798
• LCM of 454, 519, 779, 939, 655
• LCM of 846, 234, 210, 559, 897
• LCM of 417, 107, 662, 786, 820

1. What is the LCM of 464, 299, 143, 672, 980?

Answer: LCM of 464, 299, 143, 672, 980 is 2243361120.

2. How to calculate the LCM of 464, 299, 143, 672, 980?

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 464, 299, 143, 672, 980.

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}.