Given numbers are 354,672,252,478

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

The LCM of 354,672,252,478 is 28427616.

Find LCM of 354,672,252,478 with Prime Factorization

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

2 x 2 x 3 x 7 x 59 x 8 x 3 x 239 = 28427616

Therefore, the lowest common multiple of 354,672,252,478 is 28427616.

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 672 x 252 x 478 = 28655036928

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,672,252,478, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

672:2x 2x 2x 2x 2x 3x 7

252:2x 2x 3x 3x 7

478:2x 239

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 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 28655036928/(2x504)

LCM = 28655036928/1008

LCM = 28427616

Thus, we can understand that the LCM of 354,672,252,478 is 28427616.

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

• LCM of 648, 418, 128, 373
• LCM of 229, 231, 859, 381
• LCM of 112, 796, 593, 458
• LCM of 724, 996, 673, 649
• LCM of 108, 329, 220, 360

1. What is the LCM of 354, 672, 252, 478?

Answer: LCM of 354, 672, 252, 478 is 28427616.

2. How to calculate the LCM of 354, 672, 252, 478?

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, 672, 252, 478.

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}.