Given numbers are 980,919,972,674,817

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

The LCM of 980,919,972,674,817 is 60255933367140.

Find LCM of 980,919,972,674,817 with Prime Factorization

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

2 x 2 x 245 x 919 x 243 x 337 x 817 = 60255933367140

Therefore, the lowest common multiple of 980,919,972,674,817 is 60255933367140.

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 919 x 972 x 674 x 817 = 482047466937120

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

919 : 1, 919

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

674 : 1, 2, 337, 674

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,919,972,674,817, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

919:919

972:2x 2x 3x 3x 3x 3x 3

674:2x 337

817:19x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 482047466937120/(1x8)

LCM = 482047466937120/8

LCM = 60255933367140

Thus, we can understand that the LCM of 980,919,972,674,817 is 60255933367140.

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

• LCM of 585, 141, 952, 368, 164
• LCM of 144, 499, 482, 446, 245
• LCM of 406, 663, 255, 122, 989
• LCM of 500, 469, 540, 565, 238
• LCM of 993, 614, 251, 409, 147

1. What is the LCM of 980, 919, 972, 674, 817?

Answer: LCM of 980, 919, 972, 674, 817 is 60255933367140.

2. How to calculate the LCM of 980, 919, 972, 674, 817?

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, 919, 972, 674, 817.

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}.