Given numbers are 544,657,120,323,279

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

The LCM of 544,657,120,323,279 is 1052566560.

Find LCM of 544,657,120,323,279 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 17 x 4 x 73 x 5 x 19 x 31 = 1052566560

Therefore, the lowest common multiple of 544,657,120,323,279 is 1052566560.

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.

544 x 657 x 120 x 323 x 279 = 3865024408320

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

657 : 1, 3, 9, 73, 219, 657

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

323 : 1, 17, 19, 323

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,657,120,323,279, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

657:3x 3x 73

120:2x 2x 2x 3x 5

323:17x 19

279:3x 3x 31

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 3x 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 3865024408320/(1x3672)

LCM = 3865024408320/3672

LCM = 1052566560

Thus, we can understand that the LCM of 544,657,120,323,279 is 1052566560.

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

• LCM of 114, 725, 948, 142, 442
• LCM of 351, 293, 575, 516, 360
• LCM of 981, 218, 659, 300, 821
• LCM of 627, 943, 271, 905, 659
• LCM of 796, 582, 508, 750, 829

1. What is the LCM of 544, 657, 120, 323, 279?

Answer: LCM of 544, 657, 120, 323, 279 is 1052566560.

2. How to calculate the LCM of 544, 657, 120, 323, 279?

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 544, 657, 120, 323, 279.

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}.