Given numbers are 376,121,528,218,968

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

The LCM of 376,121,528,218,968 is 29754384.

Find LCM of 376,121,528,218,968 with Prime Factorization

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

2 x 2 x 2 x 11 x 11 x 47 x 1 x 6 x 109 x 1 = 29754384

Therefore, the lowest common multiple of 376,121,528,218,968 is 29754384.

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.

376 x 121 x 528 x 218 x 968 = 5069194893312

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

121 : 1, 11, 121

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

218 : 1, 2, 109, 218

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,121,528,218,968, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

121:11x 11

528:2x 2x 2x 2x 3x 11

218:2x 109

968:2x 2x 2x 11x 11

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 2x 11x 11x 11 = 170368

Therefore, the value for common factors is 170368.

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 = 5069194893312/(1x170368)

LCM = 5069194893312/170368

LCM = 29754384

Thus, we can understand that the LCM of 376,121,528,218,968 is 29754384.

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

• LCM of 578, 992, 839, 314, 962
• LCM of 668, 757, 167, 797, 678
• LCM of 231, 855, 128, 659, 778
• LCM of 459, 441, 504, 173, 798
• LCM of 700, 829, 420, 961, 163

1. What is the LCM of 376, 121, 528, 218, 968?

Answer: LCM of 376, 121, 528, 218, 968 is 29754384.

2. How to calculate the LCM of 376, 121, 528, 218, 968?

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 376, 121, 528, 218, 968.

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}.