Given numbers are 461,194,348,972

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

The LCM of 461,194,348,972 is 1260482796.

Find LCM of 461,194,348,972 with Prime Factorization

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

2 x 2 x 3 x 461 x 97 x 29 x 81 = 1260482796

Therefore, the lowest common multiple of 461,194,348,972 is 1260482796.

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.

461 x 194 x 348 x 972 = 30251587104

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.

461 : 1, 461

194 : 1, 2, 97, 194

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 461,194,348,972, is 1.

Now, the common factors can be found like this.

461:461

194:2x 97

348:2x 2x 3x 29

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.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 30251587104/(1x24)

LCM = 30251587104/24

LCM = 1260482796

Thus, we can understand that the LCM of 461,194,348,972 is 1260482796.

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

• LCM of 108, 161, 540, 298
• LCM of 714, 740, 472, 521
• LCM of 688, 410, 907, 416
• LCM of 366, 993, 571, 412
• LCM of 917, 406, 902, 133

1. What is the LCM of 461, 194, 348, 972?

Answer: LCM of 461, 194, 348, 972 is 1260482796.

2. How to calculate the LCM of 461, 194, 348, 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 461, 194, 348, 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}.