Given numbers are 311,294,940

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

The LCM of 311,294,940 is 42973980.

Find LCM of 311,294,940 with Prime Factorization

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

2 x 311 x 147 x 470 = 42973980

Therefore, the lowest common multiple of 311,294,940 is 42973980.

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.

311 x 294 x 940 = 85947960

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.

311 : 1, 311

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,294,940, is 1.

Now, the common factors can be found like this.

311:311

294:2x 3x 7x 7

940:2x 2x 5x 47

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

2 = 2

Therefore, the value for common factors is 2.

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 = 85947960/(1x2)

LCM = 85947960/2

LCM = 42973980

Thus, we can understand that the LCM of 311,294,940 is 42973980.

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

• LCM of 429, 468, 111
• LCM of 631, 764, 436
• LCM of 845, 118, 631
• LCM of 622, 932, 497
• LCM of 974, 766, 897

1. What is the LCM of 311, 294, 940?

Answer: LCM of 311, 294, 940 is 42973980.

2. How to calculate the LCM of 311, 294, 940?

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 311, 294, 940.

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}.