Given numbers are 334,338,748,423,374

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

The LCM of 334,338,748,423,374 is 8929870092.

Find LCM of 334,338,748,423,374 with Prime Factorization

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

2 x 11 x 17 x 167 x 169 x 2 x 423 x 1 = 8929870092

Therefore, the lowest common multiple of 334,338,748,423,374 is 8929870092.

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.

334 x 338 x 748 x 423 x 374 = 13359085657632

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.

334 : 1, 2, 167, 334

338 : 1, 2, 13, 26, 169, 338

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

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 334,338,748,423,374, is 1.

Now, the common factors can be found like this.

334:2x 167

338:2x 13x 13

748:2x 2x 11x 17

423:3x 3x 47

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.

2x 2x 2x 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 13359085657632/(1x1496)

LCM = 13359085657632/1496

LCM = 8929870092

Thus, we can understand that the LCM of 334,338,748,423,374 is 8929870092.

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

• LCM of 182, 200, 920, 587, 486
• LCM of 380, 954, 485, 317, 819
• LCM of 388, 310, 839, 286, 215
• LCM of 983, 627, 541, 541, 389
• LCM of 542, 382, 889, 128, 707

1. What is the LCM of 334, 338, 748, 423, 374?

Answer: LCM of 334, 338, 748, 423, 374 is 8929870092.

2. How to calculate the LCM of 334, 338, 748, 423, 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 334, 338, 748, 423, 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}.