Given numbers are 678,432,726,291,357

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

The LCM of 678,432,726,291,357 is 68181453648.

Find LCM of 678,432,726,291,357 with Prime Factorization

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

2 x 3 x 113 x 72 x 121 x 97 x 119 = 68181453648

Therefore, the lowest common multiple of 678,432,726,291,357 is 68181453648.

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.

678 x 432 x 726 x 291 x 357 = 22090790981952

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

291 : 1, 3, 97, 291

357 : 1, 3, 7, 17, 21, 51, 119, 357

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,432,726,291,357, is 3.

Now, the common factors can be found like this.

678:2x 3x 113

432:2x 2x 2x 2x 3x 3x 3

726:2x 3x 11x 11

291:3x 97

357:3x 7x 17

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 22090790981952/(3x108)

LCM = 22090790981952/324

LCM = 68181453648

Thus, we can understand that the LCM of 678,432,726,291,357 is 68181453648.

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

• LCM of 127, 122, 397, 911, 987
• LCM of 617, 754, 952, 281, 304
• LCM of 568, 168, 830, 559, 111
• LCM of 163, 236, 729, 401, 238
• LCM of 726, 882, 197, 558, 573

1. What is the LCM of 678, 432, 726, 291, 357?

Answer: LCM of 678, 432, 726, 291, 357 is 68181453648.

2. How to calculate the LCM of 678, 432, 726, 291, 357?

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 678, 432, 726, 291, 357.

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}.