Given numbers are 314,79,628

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

The LCM of 314,79,628 is 49612.

Find LCM of 314,79,628 with Prime Factorization

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

2 x 157 x 1 x 79 x 2 = 49612

Therefore, the lowest common multiple of 314,79,628 is 49612.

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 79 x 628 = 15578168

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

79 : 1, 79

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,79,628, is 1.

Now, the common factors can be found like this.

314:2x 157

79:79

628:2x 2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 15578168/(1x314)

LCM = 15578168/314

LCM = 49612

Thus, we can understand that the LCM of 314,79,628 is 49612.

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

• LCM of 661, 70, 348
• LCM of 813, 88, 123
• LCM of 943, 46, 607
• LCM of 874, 60, 675
• LCM of 344, 43, 760

1. What is the LCM of 314, 79, 628?

Answer: LCM of 314, 79, 628 is 49612.

2. How to calculate the LCM of 314, 79, 628?

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, 79, 628.

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}.