Given numbers are 354,135,676,138

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

The LCM of 354,135,676,138 is 123839820.

Find LCM of 354,135,676,138 with Prime Factorization

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

2 x 3 x 59 x 45 x 338 x 23 = 123839820

Therefore, the lowest common multiple of 354,135,676,138 is 123839820.

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.

354 x 135 x 676 x 138 = 4458233520

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

135 : 1, 3, 5, 9, 15, 27, 45, 135

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,135,676,138, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

135:3x 3x 3x 5

676:2x 2x 13x 13

138:2x 3x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 4458233520/(1x36)

LCM = 4458233520/36

LCM = 123839820

Thus, we can understand that the LCM of 354,135,676,138 is 123839820.

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

• LCM of 235, 320, 638, 575
• LCM of 499, 529, 687, 730
• LCM of 567, 404, 112, 292
• LCM of 666, 903, 528, 924
• LCM of 459, 676, 199, 148

1. What is the LCM of 354, 135, 676, 138?

Answer: LCM of 354, 135, 676, 138 is 123839820.

2. How to calculate the LCM of 354, 135, 676, 138?

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 354, 135, 676, 138.

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}.