Given numbers are 968,944,614,828

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

The LCM of 968,944,614,828 is 7258820976.

Find LCM of 968,944,614,828 with Prime Factorization

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

2 x 2 x 2 x 121 x 118 x 307 x 207 = 7258820976

Therefore, the lowest common multiple of 968,944,614,828 is 7258820976.

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.

968 x 944 x 614 x 828 = 464564542464

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.

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

614 : 1, 2, 307, 614

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,944,614,828, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

944:2x 2x 2x 2x 59

614:2x 307

828:2x 2x 3x 3x 23

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 2 = 32

Therefore, the value for common factors is 32.

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 = 464564542464/(2x32)

LCM = 464564542464/64

LCM = 7258820976

Thus, we can understand that the LCM of 968,944,614,828 is 7258820976.

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

• LCM of 333, 483, 761, 995
• LCM of 140, 902, 628, 929
• LCM of 804, 120, 581, 723
• LCM of 310, 117, 581, 672
• LCM of 753, 531, 149, 481

1. What is the LCM of 968, 944, 614, 828?

Answer: LCM of 968, 944, 614, 828 is 7258820976.

2. How to calculate the LCM of 968, 944, 614, 828?

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 968, 944, 614, 828.

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}.