Given numbers are 748,936,856,757,872

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

The LCM of 748,936,856,757,872 is 1545338449512.

Find LCM of 748,936,856,757,872 with Prime Factorization

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

2 x 2 x 2 x 187 x 117 x 107 x 757 x 109 = 1545338449512

Therefore, the lowest common multiple of 748,936,856,757,872 is 1545338449512.

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.

748 x 936 x 856 x 757 x 872 = 395606643075072

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.

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

856 : 1, 2, 4, 8, 107, 214, 428, 856

757 : 1, 757

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,936,856,757,872, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

936:2x 2x 2x 3x 3x 13

856:2x 2x 2x 107

757:757

872:2x 2x 2x 109

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 2 = 256

Therefore, the value for common factors is 256.

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 = 395606643075072/(1x256)

LCM = 395606643075072/256

LCM = 1545338449512

Thus, we can understand that the LCM of 748,936,856,757,872 is 1545338449512.

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

• LCM of 802, 446, 408, 251, 262
• LCM of 234, 167, 922, 785, 923
• LCM of 829, 515, 428, 830, 347
• LCM of 851, 185, 815, 491, 676
• LCM of 959, 142, 748, 107, 450

1. What is the LCM of 748, 936, 856, 757, 872?

Answer: LCM of 748, 936, 856, 757, 872 is 1545338449512.

2. How to calculate the LCM of 748, 936, 856, 757, 872?

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 748, 936, 856, 757, 872.

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}.