Given numbers are 314,128,748,102

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

The LCM of 314,128,748,102 is 11273856.

Find LCM of 314,128,748,102 with Prime Factorization

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

2 x 2 x 17 x 157 x 32 x 11 x 3 = 11273856

Therefore, the lowest common multiple of 314,128,748,102 is 11273856.

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.

314 x 128 x 748 x 102 = 3066488832

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.

314 : 1, 2, 157, 314

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

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,128,748,102, is 2.

Now, the common factors can be found like this.

314:2x 157

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

748:2x 2x 11x 17

102:2x 3x 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 17 = 136

Therefore, the value for common factors is 136.

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 = 3066488832/(2x136)

LCM = 3066488832/272

LCM = 11273856

Thus, we can understand that the LCM of 314,128,748,102 is 11273856.

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

• LCM of 424, 329, 367, 339
• LCM of 825, 872, 619, 816
• LCM of 226, 783, 847, 129
• LCM of 367, 950, 215, 806
• LCM of 811, 237, 954, 824

1. What is the LCM of 314, 128, 748, 102?

Answer: LCM of 314, 128, 748, 102 is 11273856.

2. How to calculate the LCM of 314, 128, 748, 102?

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 314, 128, 748, 102.

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}.