Given numbers are 564,414,193,273

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

The LCM of 564,414,193,273 is 683481708.

Find LCM of 564,414,193,273 with Prime Factorization

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

2 x 3 x 94 x 69 x 193 x 91 = 683481708

Therefore, the lowest common multiple of 564,414,193,273 is 683481708.

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 414 x 193 x 273 = 12302670744

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

193 : 1, 193

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,414,193,273, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

414:2x 3x 3x 23

193:193

273:3x 7x 13

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 12302670744/(1x18)

LCM = 12302670744/18

LCM = 683481708

Thus, we can understand that the LCM of 564,414,193,273 is 683481708.

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

• LCM of 576, 553, 572, 819
• LCM of 458, 807, 359, 715
• LCM of 266, 838, 845, 228
• LCM of 865, 753, 109, 787
• LCM of 204, 113, 380, 857

1. What is the LCM of 564, 414, 193, 273?

Answer: LCM of 564, 414, 193, 273 is 683481708.

2. How to calculate the LCM of 564, 414, 193, 273?

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, 414, 193, 273.

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}.