Given numbers are 552,272,136,748,760

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

The LCM of 552,272,136,748,760 is 19612560.

Find LCM of 552,272,136,748,760 with Prime Factorization

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

2 x 2 x 2 x 17 x 69 x 1 x 2 x 11 x 95 = 19612560

Therefore, the lowest common multiple of 552,272,136,748,760 is 19612560.

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.

552 x 272 x 136 x 748 x 760 = 11608125112320

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.

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

136 : 1, 2, 4, 8, 17, 34, 68, 136

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,272,136,748,760, is 4.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

272:2x 2x 2x 2x 17

136:2x 2x 2x 17

748:2x 2x 11x 17

760:2x 2x 2x 5x 19

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 2x 17x 17 = 147968

Therefore, the value for common factors is 147968.

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 = 11608125112320/(4x147968)

LCM = 11608125112320/591872

LCM = 19612560

Thus, we can understand that the LCM of 552,272,136,748,760 is 19612560.

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

• LCM of 534, 975, 169, 384, 453
• LCM of 490, 289, 932, 691, 673
• LCM of 625, 131, 143, 774, 817
• LCM of 930, 915, 816, 820, 949
• LCM of 547, 844, 990, 897, 972

1. What is the LCM of 552, 272, 136, 748, 760?

Answer: LCM of 552, 272, 136, 748, 760 is 19612560.

2. How to calculate the LCM of 552, 272, 136, 748, 760?

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 552, 272, 136, 748, 760.

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}.