Given numbers are 465,971,971

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

The LCM of 465,971,971 is 451515.

Find LCM of 465,971,971 with Prime Factorization

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

971 x 465 x 1 x 1 = 451515

Therefore, the lowest common multiple of 465,971,971 is 451515.

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.

465 x 971 x 971 = 438421065

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

971 : 1, 971

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,971,971, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

971:971

971:971

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

971 = 971

Therefore, the value for common factors is 971.

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 = 438421065/(1x971)

LCM = 438421065/971

LCM = 451515

Thus, we can understand that the LCM of 465,971,971 is 451515.

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

• LCM of 719, 507, 727
• LCM of 871, 493, 251
• LCM of 673, 348, 657
• LCM of 233, 184, 712
• LCM of 750, 348, 482

1. What is the LCM of 465, 971, 971?

Answer: LCM of 465, 971, 971 is 451515.

2. How to calculate the LCM of 465, 971, 971?

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 465, 971, 971.

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}.