Given numbers are 427,362,242,820,971

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

The LCM of 427,362,242,820,971 is 7446032071940.

Find LCM of 427,362,242,820,971 with Prime Factorization

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

2 x 427 x 181 x 121 x 410 x 971 = 7446032071940

Therefore, the lowest common multiple of 427,362,242,820,971 is 7446032071940.

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.

427 x 362 x 242 x 820 x 971 = 29784128287760

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.

427 : 1, 7, 61, 427

362 : 1, 2, 181, 362

242 : 1, 2, 11, 22, 121, 242

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,362,242,820,971, is 1.

Now, the common factors can be found like this.

427:7x 61

362:2x 181

242:2x 11x 11

820:2x 2x 5x 41

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 2 = 4

Therefore, the value for common factors is 4.

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 = 29784128287760/(1x4)

LCM = 29784128287760/4

LCM = 7446032071940

Thus, we can understand that the LCM of 427,362,242,820,971 is 7446032071940.

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

• LCM of 600, 286, 739, 120, 136
• LCM of 615, 855, 951, 573, 275
• LCM of 791, 450, 975, 455, 463
• LCM of 950, 993, 615, 113, 165
• LCM of 362, 292, 504, 135, 425

1. What is the LCM of 427, 362, 242, 820, 971?

Answer: LCM of 427, 362, 242, 820, 971 is 7446032071940.

2. How to calculate the LCM of 427, 362, 242, 820, 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 427, 362, 242, 820, 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}.