Given numbers are 354,312,127,415

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

The LCM of 354,312,127,415 is 970193640.

Find LCM of 354,312,127,415 with Prime Factorization

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

2 x 3 x 59 x 52 x 127 x 415 = 970193640

Therefore, the lowest common multiple of 354,312,127,415 is 970193640.

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 312 x 127 x 415 = 5821161840

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

127 : 1, 127

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,312,127,415, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

312:2x 2x 2x 3x 13

127:127

415:5x 83

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 5821161840/(1x6)

LCM = 5821161840/6

LCM = 970193640

Thus, we can understand that the LCM of 354,312,127,415 is 970193640.

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

• LCM of 175, 612, 266, 383
• LCM of 502, 967, 797, 374
• LCM of 272, 640, 790, 623
• LCM of 764, 154, 737, 879
• LCM of 946, 423, 101, 739

1. What is the LCM of 354, 312, 127, 415?

Answer: LCM of 354, 312, 127, 415 is 970193640.

2. How to calculate the LCM of 354, 312, 127, 415?

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, 312, 127, 415.

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}.