Given numbers are 564,341,346,171

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

The LCM of 564,341,346,171 is 1896506964.

Find LCM of 564,341,346,171 with Prime Factorization

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

2 x 3 x 94 x 341 x 173 x 57 = 1896506964

Therefore, the lowest common multiple of 564,341,346,171 is 1896506964.

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.

564 x 341 x 346 x 171 = 11379041784

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

341 : 1, 11, 31, 341

346 : 1, 2, 173, 346

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,341,346,171, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

341:11x 31

346:2x 173

171:3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 11379041784/(1x6)

LCM = 11379041784/6

LCM = 1896506964

Thus, we can understand that the LCM of 564,341,346,171 is 1896506964.

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

• LCM of 455, 850, 795, 716
• LCM of 535, 256, 477, 983
• LCM of 876, 127, 372, 303
• LCM of 645, 474, 237, 488
• LCM of 890, 742, 960, 416

1. What is the LCM of 564, 341, 346, 171?

Answer: LCM of 564, 341, 346, 171 is 1896506964.

2. How to calculate the LCM of 564, 341, 346, 171?

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 564, 341, 346, 171.

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}.