Given numbers are 634,461,509,972

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

The LCM of 634,461,509,972 is 72300988476.

Find LCM of 634,461,509,972 with Prime Factorization

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

2 x 317 x 461 x 509 x 486 = 72300988476

Therefore, the lowest common multiple of 634,461,509,972 is 72300988476.

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.

634 x 461 x 509 x 972 = 144601976952

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.

634 : 1, 2, 317, 634

461 : 1, 461

509 : 1, 509

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,461,509,972, is 1.

Now, the common factors can be found like this.

634:2x 317

461:461

509:509

972:2x 2x 3x 3x 3x 3x 3

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 = 144601976952/(1x2)

LCM = 144601976952/2

LCM = 72300988476

Thus, we can understand that the LCM of 634,461,509,972 is 72300988476.

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

• LCM of 272, 230, 446, 595
• LCM of 404, 490, 294, 600
• LCM of 945, 960, 866, 992
• LCM of 446, 184, 924, 425
• LCM of 163, 805, 751, 904

1. What is the LCM of 634, 461, 509, 972?

Answer: LCM of 634, 461, 509, 972 is 72300988476.

2. How to calculate the LCM of 634, 461, 509, 972?

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 634, 461, 509, 972.

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}.