Given numbers are 104,979,176,572,378

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

The LCM of 104,979,176,572,378 is 38486448.

Find LCM of 104,979,176,572,378 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 1 x 89 x 2 x 1 x 189 = 38486448

Therefore, the lowest common multiple of 104,979,176,572,378 is 38486448.

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.

104 x 979 x 176 x 572 x 378 = 3874507693056

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

979 : 1, 11, 89, 979

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,979,176,572,378, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

979:11x 89

176:2x 2x 2x 2x 11

572:2x 2x 11x 13

378:2x 3x 3x 3x 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 2x 2x 2x 2x 2x 11x 11x 13 = 100672

Therefore, the value for common factors is 100672.

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 = 3874507693056/(1x100672)

LCM = 3874507693056/100672

LCM = 38486448

Thus, we can understand that the LCM of 104,979,176,572,378 is 38486448.

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

• LCM of 936, 404, 385, 426, 889
• LCM of 184, 978, 889, 998, 888
• LCM of 266, 887, 101, 932, 827
• LCM of 677, 509, 735, 156, 464
• LCM of 916, 811, 881, 938, 780

1. What is the LCM of 104, 979, 176, 572, 378?

Answer: LCM of 104, 979, 176, 572, 378 is 38486448.

2. How to calculate the LCM of 104, 979, 176, 572, 378?

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 104, 979, 176, 572, 378.

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}.