Given numbers are 214,740,971,971

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

The LCM of 214,740,971,971 is 76883780.

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

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

2 x 971 x 107 x 370 x 1 x 1 = 76883780

Therefore, the lowest common multiple of 214,740,971,971 is 76883780.

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.

214 x 740 x 971 x 971 = 149308300760

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.

214 : 1, 2, 107, 214

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

971 : 1, 971

971 : 1, 971

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

Now, the common factors can be found like this.

214:2x 107

740:2x 2x 5x 37

971:971

971:971

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 971 = 1942

Therefore, the value for common factors is 1942.

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 = 149308300760/(1x1942)

LCM = 149308300760/1942

LCM = 76883780

Thus, we can understand that the LCM of 214,740,971,971 is 76883780.

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

• LCM of 618, 764, 725, 774
• LCM of 615, 869, 255, 481
• LCM of 610, 638, 164, 916
• LCM of 446, 714, 296, 664
• LCM of 823, 951, 210, 939

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

Answer: LCM of 214, 740, 971, 971 is 76883780.

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

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 214, 740, 971, 971.

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}.