Given numbers are 496,552,765,128,374

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

The LCM of 496,552,765,128,374 is 767986560.

Find LCM of 496,552,765,128,374 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 31 x 23 x 15 x 8 x 11 = 767986560

Therefore, the lowest common multiple of 496,552,765,128,374 is 767986560.

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.

496 x 552 x 765 x 128 x 374 = 10026832527360

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

128 : 1, 2, 4, 8, 16, 32, 64, 128

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,552,765,128,374, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

552:2x 2x 2x 3x 23

765:3x 3x 5x 17

128:2x 2x 2x 2x 2x 2x 2

374:2x 11x 17

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 2x 3x 17 = 13056

Therefore, the value for common factors is 13056.

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 = 10026832527360/(1x13056)

LCM = 10026832527360/13056

LCM = 767986560

Thus, we can understand that the LCM of 496,552,765,128,374 is 767986560.

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

• LCM of 816, 937, 803, 307, 481
• LCM of 786, 314, 857, 334, 594
• LCM of 701, 890, 643, 480, 401
• LCM of 507, 142, 931, 788, 949
• LCM of 628, 417, 396, 682, 806

1. What is the LCM of 496, 552, 765, 128, 374?

Answer: LCM of 496, 552, 765, 128, 374 is 767986560.

2. How to calculate the LCM of 496, 552, 765, 128, 374?

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 496, 552, 765, 128, 374.

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}.