Given numbers are 564,676,514,292

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

The LCM of 564,676,514,292 is 1788223476.

Find LCM of 564,676,514,292 with Prime Factorization

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

2 x 2 x 141 x 169 x 257 x 73 = 1788223476

Therefore, the lowest common multiple of 564,676,514,292 is 1788223476.

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 676 x 514 x 292 = 57223151232

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

514 : 1, 2, 257, 514

292 : 1, 2, 4, 73, 146, 292

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,676,514,292, is 2.

Now, the common factors can be found like this.

564:2x 2x 3x 47

676:2x 2x 13x 13

514:2x 257

292:2x 2x 73

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 2 = 16

Therefore, the value for common factors is 16.

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 = 57223151232/(2x16)

LCM = 57223151232/32

LCM = 1788223476

Thus, we can understand that the LCM of 564,676,514,292 is 1788223476.

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

• LCM of 860, 923, 438, 940
• LCM of 673, 821, 977, 354
• LCM of 297, 820, 572, 632
• LCM of 609, 957, 454, 600
• LCM of 307, 187, 337, 523

1. What is the LCM of 564, 676, 514, 292?

Answer: LCM of 564, 676, 514, 292 is 1788223476.

2. How to calculate the LCM of 564, 676, 514, 292?

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, 676, 514, 292.

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}.