Given numbers are 319,121,242,108

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

The LCM of 319,121,242,108 is 378972.

Find LCM of 319,121,242,108 with Prime Factorization

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

2 x 11 x 11 x 29 x 1 x 1 x 54 = 378972

Therefore, the lowest common multiple of 319,121,242,108 is 378972.

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.

319 x 121 x 242 x 108 = 1008823464

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.

319 : 1, 11, 29, 319

121 : 1, 11, 121

242 : 1, 2, 11, 22, 121, 242

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,121,242,108, is 1.

Now, the common factors can be found like this.

319:11x 29

121:11x 11

242:2x 11x 11

108:2x 2x 3x 3x 3

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

2x 11x 11x 11 = 2662

Therefore, the value for common factors is 2662.

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 = 1008823464/(1x2662)

LCM = 1008823464/2662

LCM = 378972

Thus, we can understand that the LCM of 319,121,242,108 is 378972.

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

• LCM of 162, 459, 668, 859
• LCM of 677, 126, 174, 933
• LCM of 456, 702, 252, 453
• LCM of 558, 901, 898, 501
• LCM of 140, 799, 285, 281

1. What is the LCM of 319, 121, 242, 108?

Answer: LCM of 319, 121, 242, 108 is 378972.

2. How to calculate the LCM of 319, 121, 242, 108?

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 319, 121, 242, 108.

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}.