Given numbers are 274,542,187,306,928

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

The LCM of 274,542,187,306,928 is 57985839648.

Find LCM of 274,542,187,306,928 with Prime Factorization

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

2 x 17 x 137 x 271 x 11 x 9 x 464 = 57985839648

Therefore, the lowest common multiple of 274,542,187,306,928 is 57985839648.

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.

274 x 542 x 187 x 306 x 928 = 7886074192128

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.

274 : 1, 2, 137, 274

542 : 1, 2, 271, 542

187 : 1, 11, 17, 187

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,542,187,306,928, is 1.

Now, the common factors can be found like this.

274:2x 137

542:2x 271

187:11x 17

306:2x 3x 3x 17

928:2x 2x 2x 2x 2x 29

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 17 = 136

Therefore, the value for common factors is 136.

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 = 7886074192128/(1x136)

LCM = 7886074192128/136

LCM = 57985839648

Thus, we can understand that the LCM of 274,542,187,306,928 is 57985839648.

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

• LCM of 735, 635, 453, 580, 992
• LCM of 814, 905, 626, 270, 497
• LCM of 204, 264, 608, 387, 910
• LCM of 653, 805, 573, 429, 844
• LCM of 971, 320, 164, 838, 958

1. What is the LCM of 274, 542, 187, 306, 928?

Answer: LCM of 274, 542, 187, 306, 928 is 57985839648.

2. How to calculate the LCM of 274, 542, 187, 306, 928?

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 274, 542, 187, 306, 928.

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}.