Given numbers are 715,748,677

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

The LCM of 715,748,677 is 32915740.

Find LCM of 715,748,677 with Prime Factorization

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

11 x 65 x 68 x 677 = 32915740

Therefore, the lowest common multiple of 715,748,677 is 32915740.

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.

715 x 748 x 677 = 362073140

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,748,677, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

748:2x 2x 11x 17

677:677

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

11 = 11

Therefore, the value for common factors is 11.

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 = 362073140/(1x11)

LCM = 362073140/11

LCM = 32915740

Thus, we can understand that the LCM of 715,748,677 is 32915740.

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

• LCM of 456, 349, 420
• LCM of 393, 759, 225
• LCM of 646, 831, 830
• LCM of 796, 203, 938
• LCM of 405, 837, 580

1. What is the LCM of 715, 748, 677?

Answer: LCM of 715, 748, 677 is 32915740.

2. How to calculate the LCM of 715, 748, 677?

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 715, 748, 677.

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}.