Given numbers are 331,461,923,144,374

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

The LCM of 331,461,923,144,374 is 3792579723504.

Find LCM of 331,461,923,144,374 with Prime Factorization

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

2 x 331 x 461 x 923 x 72 x 187 = 3792579723504

Therefore, the lowest common multiple of 331,461,923,144,374 is 3792579723504.

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.

331 x 461 x 923 x 144 x 374 = 7585159447008

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.

331 : 1, 331

461 : 1, 461

923 : 1, 13, 71, 923

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,461,923,144,374, is 1.

Now, the common factors can be found like this.

331:331

461:461

923:13x 71

144:2x 2x 2x 2x 3x 3

374:2x 11x 17

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 = 7585159447008/(1x2)

LCM = 7585159447008/2

LCM = 3792579723504

Thus, we can understand that the LCM of 331,461,923,144,374 is 3792579723504.

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

• LCM of 490, 697, 807, 699, 138
• LCM of 215, 437, 631, 502, 173
• LCM of 457, 244, 126, 797, 341
• LCM of 958, 976, 324, 969, 680
• LCM of 872, 677, 601, 645, 118

1. What is the LCM of 331, 461, 923, 144, 374?

Answer: LCM of 331, 461, 923, 144, 374 is 3792579723504.

2. How to calculate the LCM of 331, 461, 923, 144, 374?

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 331, 461, 923, 144, 374.

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}.