Given numbers are 423,138,471,816,354

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

The LCM of 423,138,471,816,354 is 24512565744.

Find LCM of 423,138,471,816,354 with Prime Factorization

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

2 x 3 x 141 x 23 x 157 x 136 x 59 = 24512565744

Therefore, the lowest common multiple of 423,138,471,816,354 is 24512565744.

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.

423 x 138 x 471 x 816 x 354 = 7942071301056

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.

423 : 1, 3, 9, 47, 141, 423

138 : 1, 2, 3, 6, 23, 46, 69, 138

471 : 1, 3, 157, 471

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

354 : 1, 2, 3, 6, 59, 118, 177, 354

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,138,471,816,354, is 3.

Now, the common factors can be found like this.

423:3x 3x 47

138:2x 3x 23

471:3x 157

816:2x 2x 2x 2x 3x 17

354:2x 3x 59

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 7942071301056/(3x108)

LCM = 7942071301056/324

LCM = 24512565744

Thus, we can understand that the LCM of 423,138,471,816,354 is 24512565744.

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

• LCM of 677, 960, 616, 288, 891
• LCM of 823, 985, 823, 701, 612
• LCM of 112, 427, 528, 468, 113
• LCM of 632, 642, 731, 895, 521
• LCM of 399, 415, 844, 981, 322

1. What is the LCM of 423, 138, 471, 816, 354?

Answer: LCM of 423, 138, 471, 816, 354 is 24512565744.

2. How to calculate the LCM of 423, 138, 471, 816, 354?

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 423, 138, 471, 816, 354.

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}.