Given numbers are 635,490,816,678

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

The LCM of 635,490,816,678 is 2869051920.

Find LCM of 635,490,816,678 with Prime Factorization

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

2 x 3 x 5 x 127 x 49 x 136 x 113 = 2869051920

Therefore, the lowest common multiple of 635,490,816,678 is 2869051920.

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.

635 x 490 x 816 x 678 = 172143115200

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.

635 : 1, 5, 127, 635

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,490,816,678, is 1.

Now, the common factors can be found like this.

635:5x 127

490:2x 5x 7x 7

816:2x 2x 2x 2x 3x 17

678:2x 3x 113

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 5 = 60

Therefore, the value for common factors is 60.

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 = 172143115200/(1x60)

LCM = 172143115200/60

LCM = 2869051920

Thus, we can understand that the LCM of 635,490,816,678 is 2869051920.

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

• LCM of 123, 721, 287, 406
• LCM of 977, 736, 853, 674
• LCM of 188, 338, 816, 363
• LCM of 614, 890, 807, 150
• LCM of 838, 210, 935, 410

1. What is the LCM of 635, 490, 816, 678?

Answer: LCM of 635, 490, 816, 678 is 2869051920.

2. How to calculate the LCM of 635, 490, 816, 678?

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 635, 490, 816, 678.

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}.