Given numbers are 464,812,696,820,508

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

The LCM of 464,812,696,820,508 is 253685040.

Find LCM of 464,812,696,820,508 with Prime Factorization

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

2 x 2 x 2 x 29 x 2 x 7 x 3 x 205 x 127 = 253685040

Therefore, the lowest common multiple of 464,812,696,820,508 is 253685040.

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 812 x 696 x 820 x 508 = 109234748743680

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

508 : 1, 2, 4, 127, 254, 508

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,812,696,820,508, is 4.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

812:2x 2x 7x 29

696:2x 2x 2x 3x 29

820:2x 2x 5x 41

508:2x 2x 127

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 2x 29x 29 = 107648

Therefore, the value for common factors is 107648.

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 = 109234748743680/(4x107648)

LCM = 109234748743680/430592

LCM = 253685040

Thus, we can understand that the LCM of 464,812,696,820,508 is 253685040.

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

• LCM of 982, 810, 123, 926, 175
• LCM of 593, 794, 123, 156, 497
• LCM of 760, 237, 312, 253, 177
• LCM of 823, 536, 334, 443, 268
• LCM of 530, 565, 480, 164, 427

1. What is the LCM of 464, 812, 696, 820, 508?

Answer: LCM of 464, 812, 696, 820, 508 is 253685040.

2. How to calculate the LCM of 464, 812, 696, 820, 508?

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, 812, 696, 820, 508.

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}.