Given numbers are 980,306,104,416,271

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

The LCM of 980,306,104,416,271 is 4225908960.

Find LCM of 980,306,104,416,271 with Prime Factorization

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

2 x 2 x 2 x 13 x 245 x 153 x 1 x 4 x 271 = 4225908960

Therefore, the lowest common multiple of 980,306,104,416,271 is 4225908960.

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 306 x 104 x 416 x 271 = 3515956254720

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,306,104,416,271, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

306:2x 3x 3x 17

104:2x 2x 2x 13

416:2x 2x 2x 2x 2x 13

271:271

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 13 = 832

Therefore, the value for common factors is 832.

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 = 3515956254720/(1x832)

LCM = 3515956254720/832

LCM = 4225908960

Thus, we can understand that the LCM of 980,306,104,416,271 is 4225908960.

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

• LCM of 283, 401, 196, 632, 728
• LCM of 466, 500, 502, 850, 914
• LCM of 622, 867, 445, 421, 565
• LCM of 754, 951, 934, 134, 477
• LCM of 360, 888, 260, 614, 706

1. What is the LCM of 980, 306, 104, 416, 271?

Answer: LCM of 980, 306, 104, 416, 271 is 4225908960.

2. How to calculate the LCM of 980, 306, 104, 416, 271?

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, 306, 104, 416, 271.

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}.