Given numbers are 971,386,874,532,706

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

The LCM of 971,386,874,532,706 is 809451277124.

Find LCM of 971,386,874,532,706 with Prime Factorization

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

2 x 19 x 971 x 193 x 23 x 14 x 353 = 809451277124

Therefore, the lowest common multiple of 971,386,874,532,706 is 809451277124.

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.

971 x 386 x 874 x 532 x 706 = 123036594122848

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.

971 : 1, 971

386 : 1, 2, 193, 386

874 : 1, 2, 19, 23, 38, 46, 437, 874

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,386,874,532,706, is 1.

Now, the common factors can be found like this.

971:971

386:2x 193

874:2x 19x 23

532:2x 2x 7x 19

706:2x 353

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 19 = 152

Therefore, the value for common factors is 152.

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 = 123036594122848/(1x152)

LCM = 123036594122848/152

LCM = 809451277124

Thus, we can understand that the LCM of 971,386,874,532,706 is 809451277124.

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

• LCM of 155, 671, 969, 280, 458
• LCM of 342, 577, 906, 374, 779
• LCM of 287, 630, 285, 644, 409
• LCM of 898, 706, 514, 930, 527
• LCM of 792, 110, 839, 700, 816

1. What is the LCM of 971, 386, 874, 532, 706?

Answer: LCM of 971, 386, 874, 532, 706 is 809451277124.

2. How to calculate the LCM of 971, 386, 874, 532, 706?

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 971, 386, 874, 532, 706.

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}.