Given numbers are 974,253,284

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

The LCM of 974,253,284 is 34991924.

Find LCM of 974,253,284 with Prime Factorization

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

2 x 487 x 253 x 142 = 34991924

Therefore, the lowest common multiple of 974,253,284 is 34991924.

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.

974 x 253 x 284 = 69983848

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.

974 : 1, 2, 487, 974

253 : 1, 11, 23, 253

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,253,284, is 1.

Now, the common factors can be found like this.

974:2x 487

253:11x 23

284:2x 2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 69983848/(1x2)

LCM = 69983848/2

LCM = 34991924

Thus, we can understand that the LCM of 974,253,284 is 34991924.

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

• LCM of 328, 117, 714
• LCM of 719, 502, 710
• LCM of 983, 290, 866
• LCM of 756, 300, 502
• LCM of 880, 860, 682

1. What is the LCM of 974, 253, 284?

Answer: LCM of 974, 253, 284 is 34991924.

2. How to calculate the LCM of 974, 253, 284?

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 974, 253, 284.

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}.