Given numbers are 748,646,546,472,271

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

The LCM of 748,646,546,472,271 is 124070674728.

Find LCM of 748,646,546,472,271 with Prime Factorization

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

2 x 2 x 17 x 11 x 19 x 273 x 118 x 271 = 124070674728

Therefore, the lowest common multiple of 748,646,546,472,271 is 124070674728.

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.

748 x 646 x 546 x 472 x 271 = 33747223526016

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

646 : 1, 2, 17, 19, 34, 38, 323, 646

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

472 : 1, 2, 4, 8, 59, 118, 236, 472

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,646,546,472,271, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

646:2x 17x 19

546:2x 3x 7x 13

472:2x 2x 2x 59

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 17 = 272

Therefore, the value for common factors is 272.

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 = 33747223526016/(1x272)

LCM = 33747223526016/272

LCM = 124070674728

Thus, we can understand that the LCM of 748,646,546,472,271 is 124070674728.

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

• LCM of 403, 960, 198, 665, 805
• LCM of 993, 897, 457, 779, 475
• LCM of 392, 568, 958, 341, 831
• LCM of 162, 920, 909, 576, 799
• LCM of 400, 491, 337, 126, 988

1. What is the LCM of 748, 646, 546, 472, 271?

Answer: LCM of 748, 646, 546, 472, 271 is 124070674728.

2. How to calculate the LCM of 748, 646, 546, 472, 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 748, 646, 546, 472, 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}.