Given numbers are 971,338,740,862,214

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

The LCM of 971,338,740,862,214 is 5600137651420.

Find LCM of 971,338,740,862,214 with Prime Factorization

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

2 x 971 x 169 x 370 x 431 x 107 = 5600137651420

Therefore, the lowest common multiple of 971,338,740,862,214 is 5600137651420.

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 338 x 740 x 862 x 214 = 44801101211360

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

338 : 1, 2, 13, 26, 169, 338

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

862 : 1, 2, 431, 862

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,338,740,862,214, is 1.

Now, the common factors can be found like this.

971:971

338:2x 13x 13

740:2x 2x 5x 37

862:2x 431

214:2x 107

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 = 44801101211360/(1x8)

LCM = 44801101211360/8

LCM = 5600137651420

Thus, we can understand that the LCM of 971,338,740,862,214 is 5600137651420.

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

• LCM of 264, 402, 922, 199, 554
• LCM of 232, 579, 612, 127, 813
• LCM of 530, 286, 896, 882, 821
• LCM of 914, 894, 344, 423, 113
• LCM of 308, 829, 939, 593, 513

1. What is the LCM of 971, 338, 740, 862, 214?

Answer: LCM of 971, 338, 740, 862, 214 is 5600137651420.

2. How to calculate the LCM of 971, 338, 740, 862, 214?

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, 338, 740, 862, 214.

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}.