Given numbers are 249,960,440,971,671

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

The LCM of 249,960,440,971,671 is 51914786880.

Find LCM of 249,960,440,971,671 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 83 x 8 x 1 x 971 x 61 = 51914786880

Therefore, the lowest common multiple of 249,960,440,971,671 is 51914786880.

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.

249 x 960 x 440 x 971 x 671 = 68527518681600

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.

249 : 1, 3, 83, 249

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

971 : 1, 971

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,960,440,971,671, is 1.

Now, the common factors can be found like this.

249:3x 83

960:2x 2x 2x 2x 2x 2x 3x 5

440:2x 2x 2x 5x 11

971:971

671:11x 61

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 68527518681600/(1x1320)

LCM = 68527518681600/1320

LCM = 51914786880

Thus, we can understand that the LCM of 249,960,440,971,671 is 51914786880.

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

• LCM of 336, 946, 746, 684, 983
• LCM of 432, 516, 408, 622, 995
• LCM of 111, 498, 439, 429, 909
• LCM of 465, 798, 931, 670, 448
• LCM of 255, 828, 851, 393, 807

1. What is the LCM of 249, 960, 440, 971, 671?

Answer: LCM of 249, 960, 440, 971, 671 is 51914786880.

2. How to calculate the LCM of 249, 960, 440, 971, 671?

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 249, 960, 440, 971, 671.

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}.