Given numbers are 906,187,128,468,220

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

The LCM of 906,187,128,468,220 is 2114386560.

Find LCM of 906,187,128,468,220 with Prime Factorization

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

2 x 2 x 3 x 11 x 151 x 17 x 32 x 39 x 5 = 2114386560

Therefore, the lowest common multiple of 906,187,128,468,220 is 2114386560.

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.

906 x 187 x 128 x 468 x 220 = 2232792207360

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

187 : 1, 11, 17, 187

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,187,128,468,220, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

187:11x 17

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

468:2x 2x 3x 3x 13

220:2x 2x 5x 11

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 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 2232792207360/(1x1056)

LCM = 2232792207360/1056

LCM = 2114386560

Thus, we can understand that the LCM of 906,187,128,468,220 is 2114386560.

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

• LCM of 266, 649, 866, 271, 996
• LCM of 961, 898, 778, 891, 184
• LCM of 812, 237, 933, 926, 378
• LCM of 111, 139, 123, 737, 648
• LCM of 776, 996, 708, 257, 291

1. What is the LCM of 906, 187, 128, 468, 220?

Answer: LCM of 906, 187, 128, 468, 220 is 2114386560.

2. How to calculate the LCM of 906, 187, 128, 468, 220?

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 906, 187, 128, 468, 220.

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}.