Given numbers are 645,724,431,21

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

The LCM of 645,724,431,21 is 1408878660.

Find LCM of 645,724,431,21 with Prime Factorization

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

3 x 215 x 724 x 431 x 7 = 1408878660

Therefore, the lowest common multiple of 645,724,431,21 is 1408878660.

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.

645 x 724 x 431 x 21 = 4226635980

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

724 : 1, 2, 4, 181, 362, 724

431 : 1, 431

21 : 1, 3, 7, 21

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,724,431,21, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

724:2x 2x 181

431:431

21:3x 7

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4226635980/(1x3)

LCM = 4226635980/3

LCM = 1408878660

Thus, we can understand that the LCM of 645,724,431,21 is 1408878660.

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

• LCM of 486, 314, 524, 97
• LCM of 326, 211, 453, 97
• LCM of 933, 130, 390, 17
• LCM of 223, 637, 594, 16
• LCM of 965, 706, 933, 37

1. What is the LCM of 645, 724, 431, 21?

Answer: LCM of 645, 724, 431, 21 is 1408878660.

2. How to calculate the LCM of 645, 724, 431, 21?

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 645, 724, 431, 21.

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}.