Given numbers are 836,988,553,780,614

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

The LCM of 836,988,553,780,614 is 27676068420.

Find LCM of 836,988,553,780,614 with Prime Factorization

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

2 x 2 x 13 x 19 x 11 x 1 x 553 x 15 x 307 = 27676068420

Therefore, the lowest common multiple of 836,988,553,780,614 is 27676068420.

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.

836 x 988 x 553 x 780 x 614 = 218751644791680

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

553 : 1, 7, 79, 553

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,988,553,780,614, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

988:2x 2x 13x 19

553:7x 79

780:2x 2x 3x 5x 13

614:2x 307

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 2x 2x 13x 19 = 7904

Therefore, the value for common factors is 7904.

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 = 218751644791680/(1x7904)

LCM = 218751644791680/7904

LCM = 27676068420

Thus, we can understand that the LCM of 836,988,553,780,614 is 27676068420.

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

• LCM of 998, 743, 266, 206, 101
• LCM of 316, 723, 980, 630, 642
• LCM of 172, 832, 331, 303, 859
• LCM of 163, 976, 873, 281, 138
• LCM of 508, 139, 315, 808, 443

1. What is the LCM of 836, 988, 553, 780, 614?

Answer: LCM of 836, 988, 553, 780, 614 is 27676068420.

2. How to calculate the LCM of 836, 988, 553, 780, 614?

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 836, 988, 553, 780, 614.

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}.