Given numbers are 890,610,614,974

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

The LCM of 890,610,614,974 is 8116843610.

Find LCM of 890,610,614,974 with Prime Factorization

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

2 x 5 x 89 x 61 x 307 x 487 = 8116843610

Therefore, the lowest common multiple of 890,610,614,974 is 8116843610.

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.

890 x 610 x 614 x 974 = 324673744400

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

610 : 1, 2, 5, 10, 61, 122, 305, 610

614 : 1, 2, 307, 614

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,610,614,974, is 2.

Now, the common factors can be found like this.

890:2x 5x 89

610:2x 5x 61

614:2x 307

974:2x 487

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 5 = 20

Therefore, the value for common factors is 20.

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 = 324673744400/(2x20)

LCM = 324673744400/40

LCM = 8116843610

Thus, we can understand that the LCM of 890,610,614,974 is 8116843610.

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

• LCM of 949, 810, 452, 882
• LCM of 664, 596, 900, 329
• LCM of 125, 921, 882, 719
• LCM of 968, 805, 501, 480
• LCM of 969, 312, 211, 948

1. What is the LCM of 890, 610, 614, 974?

Answer: LCM of 890, 610, 614, 974 is 8116843610.

2. How to calculate the LCM of 890, 610, 614, 974?

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 890, 610, 614, 974.

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}.