Given numbers are 338,572,415,117

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

The LCM of 338,572,415,117 is 27773460.

Find LCM of 338,572,415,117 with Prime Factorization

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

2 x 13 x 13 x 22 x 415 x 9 = 27773460

Therefore, the lowest common multiple of 338,572,415,117 is 27773460.

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.

338 x 572 x 415 x 117 = 9387429480

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.

338 : 1, 2, 13, 26, 169, 338

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

415 : 1, 5, 83, 415

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,572,415,117, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

572:2x 2x 11x 13

415:5x 83

117:3x 3x 13

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 9387429480/(1x338)

LCM = 9387429480/338

LCM = 27773460

Thus, we can understand that the LCM of 338,572,415,117 is 27773460.

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

• LCM of 662, 969, 440, 249
• LCM of 752, 662, 970, 676
• LCM of 922, 764, 431, 315
• LCM of 127, 690, 981, 122
• LCM of 936, 875, 375, 498

1. What is the LCM of 338, 572, 415, 117?

Answer: LCM of 338, 572, 415, 117 is 27773460.

2. How to calculate the LCM of 338, 572, 415, 117?

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 338, 572, 415, 117.

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}.