Given numbers are 976,316,652,616,438

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

The LCM of 976,316,652,616,438 is 211933374576.

Find LCM of 976,316,652,616,438 with Prime Factorization

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

2 x 2 x 2 x 122 x 79 x 163 x 77 x 219 = 211933374576

Therefore, the lowest common multiple of 976,316,652,616,438 is 211933374576.

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.

976 x 316 x 652 x 616 x 438 = 54254943891456

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

316 : 1, 2, 4, 79, 158, 316

652 : 1, 2, 4, 163, 326, 652

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,316,652,616,438, is 2.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

316:2x 2x 79

652:2x 2x 163

616:2x 2x 2x 7x 11

438:2x 3x 73

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 54254943891456/(2x128)

LCM = 54254943891456/256

LCM = 211933374576

Thus, we can understand that the LCM of 976,316,652,616,438 is 211933374576.

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

• LCM of 691, 598, 349, 779, 766
• LCM of 951, 728, 570, 762, 286
• LCM of 841, 732, 463, 935, 416
• LCM of 540, 158, 584, 649, 664
• LCM of 447, 617, 518, 585, 681

1. What is the LCM of 976, 316, 652, 616, 438?

Answer: LCM of 976, 316, 652, 616, 438 is 211933374576.

2. How to calculate the LCM of 976, 316, 652, 616, 438?

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 976, 316, 652, 616, 438.

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}.