Given numbers are 677,713,142,218,630

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

The LCM of 677,713,142,218,630 is 2353442514570.

Find LCM of 677,713,142,218,630 with Prime Factorization

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

2 x 677 x 713 x 71 x 109 x 315 = 2353442514570

Therefore, the lowest common multiple of 677,713,142,218,630 is 2353442514570.

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.

677 x 713 x 142 x 218 x 630 = 9413770058280

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.

677 : 1, 677

713 : 1, 23, 31, 713

142 : 1, 2, 71, 142

218 : 1, 2, 109, 218

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,713,142,218,630, is 1.

Now, the common factors can be found like this.

677:677

713:23x 31

142:2x 71

218:2x 109

630:2x 3x 3x 5x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9413770058280/(1x4)

LCM = 9413770058280/4

LCM = 2353442514570

Thus, we can understand that the LCM of 677,713,142,218,630 is 2353442514570.

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

• LCM of 758, 437, 361, 992, 974
• LCM of 270, 865, 331, 882, 694
• LCM of 219, 421, 848, 834, 555
• LCM of 418, 614, 550, 105, 240
• LCM of 574, 427, 990, 131, 570

1. What is the LCM of 677, 713, 142, 218, 630?

Answer: LCM of 677, 713, 142, 218, 630 is 2353442514570.

2. How to calculate the LCM of 677, 713, 142, 218, 630?

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 677, 713, 142, 218, 630.

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}.