Given numbers are 277,352,120,680,646

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

The LCM of 277,352,120,680,646 is 472406880.

Find LCM of 277,352,120,680,646 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 277 x 44 x 3 x 1 x 19 = 472406880

Therefore, the lowest common multiple of 277,352,120,680,646 is 472406880.

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.

277 x 352 x 120 x 680 x 646 = 5139786854400

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.

277 : 1, 277

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,352,120,680,646, is 1.

Now, the common factors can be found like this.

277:277

352:2x 2x 2x 2x 2x 11

120:2x 2x 2x 3x 5

680:2x 2x 2x 5x 17

646:2x 17x 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 2x 2x 2x 2x 2x 2x 5x 17 = 10880

Therefore, the value for common factors is 10880.

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 = 5139786854400/(1x10880)

LCM = 5139786854400/10880

LCM = 472406880

Thus, we can understand that the LCM of 277,352,120,680,646 is 472406880.

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

• LCM of 557, 460, 900, 701, 857
• LCM of 928, 103, 836, 298, 436
• LCM of 400, 284, 632, 333, 623
• LCM of 319, 702, 970, 818, 152
• LCM of 657, 113, 544, 203, 703

1. What is the LCM of 277, 352, 120, 680, 646?

Answer: LCM of 277, 352, 120, 680, 646 is 472406880.

2. How to calculate the LCM of 277, 352, 120, 680, 646?

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 277, 352, 120, 680, 646.

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}.