Given numbers are 977,420,514,938

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

The LCM of 977,420,514,938 is 7065644460.

Find LCM of 977,420,514,938 with Prime Factorization

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

2 x 7 x 977 x 30 x 257 x 67 = 7065644460

Therefore, the lowest common multiple of 977,420,514,938 is 7065644460.

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.

977 x 420 x 514 x 938 = 197838044880

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.

977 : 1, 977

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

514 : 1, 2, 257, 514

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,420,514,938, is 1.

Now, the common factors can be found like this.

977:977

420:2x 2x 3x 5x 7

514:2x 257

938:2x 7x 67

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 7 = 28

Therefore, the value for common factors is 28.

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 = 197838044880/(1x28)

LCM = 197838044880/28

LCM = 7065644460

Thus, we can understand that the LCM of 977,420,514,938 is 7065644460.

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

• LCM of 931, 247, 970, 315
• LCM of 541, 705, 909, 691
• LCM of 816, 146, 831, 627
• LCM of 832, 674, 779, 608
• LCM of 900, 991, 260, 147

1. What is the LCM of 977, 420, 514, 938?

Answer: LCM of 977, 420, 514, 938 is 7065644460.

2. How to calculate the LCM of 977, 420, 514, 938?

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 977, 420, 514, 938.

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}.