Given numbers are 974,971,762,364

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

The LCM of 974,971,762,364 is 65580473868.

Find LCM of 974,971,762,364 with Prime Factorization

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

2 x 487 x 971 x 381 x 182 = 65580473868

Therefore, the lowest common multiple of 974,971,762,364 is 65580473868.

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 971 x 762 x 364 = 262321895472

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

971 : 1, 971

762 : 1, 2, 3, 6, 127, 254, 381, 762

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,971,762,364, is 1.

Now, the common factors can be found like this.

974:2x 487

971:971

762:2x 3x 127

364:2x 2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 262321895472/(1x4)

LCM = 262321895472/4

LCM = 65580473868

Thus, we can understand that the LCM of 974,971,762,364 is 65580473868.

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

• LCM of 230, 696, 112, 832
• LCM of 534, 208, 255, 143
• LCM of 494, 478, 244, 504
• LCM of 995, 369, 309, 774
• LCM of 189, 733, 160, 364

1. What is the LCM of 974, 971, 762, 364?

Answer: LCM of 974, 971, 762, 364 is 65580473868.

2. How to calculate the LCM of 974, 971, 762, 364?

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, 971, 762, 364.

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}.