Given numbers are 614,122,650,976

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

The LCM of 614,122,650,976 is 97380400.

Find LCM of 614,122,650,976 with Prime Factorization

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

2 x 61 x 307 x 1 x 325 x 8 = 97380400

Therefore, the lowest common multiple of 614,122,650,976 is 97380400.

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.

614 x 122 x 650 x 976 = 47521635200

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.

614 : 1, 2, 307, 614

122 : 1, 2, 61, 122

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,122,650,976, is 2.

Now, the common factors can be found like this.

614:2x 307

122:2x 61

650:2x 5x 5x 13

976:2x 2x 2x 2x 61

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 61 = 244

Therefore, the value for common factors is 244.

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 = 47521635200/(2x244)

LCM = 47521635200/488

LCM = 97380400

Thus, we can understand that the LCM of 614,122,650,976 is 97380400.

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

• LCM of 151, 429, 711, 411
• LCM of 726, 901, 424, 788
• LCM of 479, 198, 275, 168
• LCM of 825, 509, 883, 157
• LCM of 930, 511, 213, 524

1. What is the LCM of 614, 122, 650, 976?

Answer: LCM of 614, 122, 650, 976 is 97380400.

2. How to calculate the LCM of 614, 122, 650, 976?

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 614, 122, 650, 976.

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}.