Given numbers are 458,737,368,517,274

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

The LCM of 458,737,368,517,274 is 399916399696.

Find LCM of 458,737,368,517,274 with Prime Factorization

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

2 x 11 x 229 x 67 x 184 x 47 x 137 = 399916399696

Therefore, the lowest common multiple of 458,737,368,517,274 is 399916399696.

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.

458 x 737 x 368 x 517 x 274 = 17596321586624

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.

458 : 1, 2, 229, 458

737 : 1, 11, 67, 737

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

517 : 1, 11, 47, 517

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,737,368,517,274, is 1.

Now, the common factors can be found like this.

458:2x 229

737:11x 67

368:2x 2x 2x 2x 23

517:11x 47

274:2x 137

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 11 = 44

Therefore, the value for common factors is 44.

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 = 17596321586624/(1x44)

LCM = 17596321586624/44

LCM = 399916399696

Thus, we can understand that the LCM of 458,737,368,517,274 is 399916399696.

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

• LCM of 594, 856, 899, 526, 889
• LCM of 999, 573, 794, 288, 179
• LCM of 919, 120, 864, 768, 820
• LCM of 547, 694, 291, 434, 606
• LCM of 567, 942, 223, 437, 555

1. What is the LCM of 458, 737, 368, 517, 274?

Answer: LCM of 458, 737, 368, 517, 274 is 399916399696.

2. How to calculate the LCM of 458, 737, 368, 517, 274?

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 458, 737, 368, 517, 274.

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}.