Given numbers are 721,674,314

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

The LCM of 721,674,314 is 76294778.

Find LCM of 721,674,314 with Prime Factorization

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

2 x 721 x 337 x 157 = 76294778

Therefore, the lowest common multiple of 721,674,314 is 76294778.

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 674 x 314 = 152589556

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

674 : 1, 2, 337, 674

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,674,314, is 1.

Now, the common factors can be found like this.

721:7x 103

674:2x 337

314:2x 157

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 = 152589556/(1x2)

LCM = 152589556/2

LCM = 76294778

Thus, we can understand that the LCM of 721,674,314 is 76294778.

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

• LCM of 844, 246, 856
• LCM of 602, 866, 449
• LCM of 931, 897, 522
• LCM of 621, 612, 431
• LCM of 211, 535, 596

1. What is the LCM of 721, 674, 314?

Answer: LCM of 721, 674, 314 is 76294778.

2. How to calculate the LCM of 721, 674, 314?

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, 674, 314.

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}.