Given numbers are 624,971,974

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

The LCM of 624,971,974 is 295075248.

Find LCM of 624,971,974 with Prime Factorization

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

2 x 312 x 971 x 487 = 295075248

Therefore, the lowest common multiple of 624,971,974 is 295075248.

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.

624 x 971 x 974 = 590150496

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

971 : 1, 971

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,971,974, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

971:971

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.

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 = 590150496/(1x2)

LCM = 590150496/2

LCM = 295075248

Thus, we can understand that the LCM of 624,971,974 is 295075248.

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

• LCM of 815, 577, 874
• LCM of 833, 816, 307
• LCM of 349, 640, 384
• LCM of 151, 670, 368
• LCM of 711, 893, 742

1. What is the LCM of 624, 971, 974?

Answer: LCM of 624, 971, 974 is 295075248.

2. How to calculate the LCM of 624, 971, 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 624, 971, 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}.