Given numbers are 980,953,378,616,308

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

The LCM of 980,953,378,616,308 is 554760360.

Find LCM of 980,953,378,616,308 with Prime Factorization

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

2 x 2 x 7 x 11 x 35 x 953 x 27 x 1 x 2 = 554760360

Therefore, the lowest common multiple of 980,953,378,616,308 is 554760360.

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.

980 x 953 x 378 x 616 x 308 = 66979546824960

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

953 : 1, 953

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,953,378,616,308, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

953:953

378:2x 3x 3x 3x 7

616:2x 2x 2x 7x 11

308:2x 2x 7x 11

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 7x 7x 7x 11 = 120736

Therefore, the value for common factors is 120736.

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 = 66979546824960/(1x120736)

LCM = 66979546824960/120736

LCM = 554760360

Thus, we can understand that the LCM of 980,953,378,616,308 is 554760360.

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

• LCM of 836, 441, 828, 367, 581
• LCM of 391, 193, 942, 824, 939
• LCM of 423, 436, 417, 389, 997
• LCM of 451, 102, 714, 475, 575
• LCM of 722, 688, 684, 737, 673

1. What is the LCM of 980, 953, 378, 616, 308?

Answer: LCM of 980, 953, 378, 616, 308 is 554760360.

2. How to calculate the LCM of 980, 953, 378, 616, 308?

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 980, 953, 378, 616, 308.

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}.