Given numbers are 721,708,814

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

The LCM of 721,708,814 is 207760476.

Find LCM of 721,708,814 with Prime Factorization

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

2 x 721 x 354 x 407 = 207760476

Therefore, the lowest common multiple of 721,708,814 is 207760476.

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.

721 x 708 x 814 = 415520952

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.

721 : 1, 7, 103, 721

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,708,814, is 1.

Now, the common factors can be found like this.

721:7x 103

708:2x 2x 3x 59

814:2x 11x 37

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 = 415520952/(1x2)

LCM = 415520952/2

LCM = 207760476

Thus, we can understand that the LCM of 721,708,814 is 207760476.

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

• LCM of 878, 298, 887
• LCM of 962, 908, 150
• LCM of 318, 891, 108
• LCM of 149, 220, 554
• LCM of 785, 738, 629

1. What is the LCM of 721, 708, 814?

Answer: LCM of 721, 708, 814 is 207760476.

2. How to calculate the LCM of 721, 708, 814?

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 721, 708, 814.

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}.