Given numbers are 821,478,348,502,274

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

The LCM of 821,478,348,502,274 is 2348089198044.

Find LCM of 821,478,348,502,274 with Prime Factorization

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

2 x 821 x 239 x 174 x 251 x 137 = 2348089198044

Therefore, the lowest common multiple of 821,478,348,502,274 is 2348089198044.

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.

821 x 478 x 348 x 502 x 274 = 18784713584352

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.

821 : 1, 821

478 : 1, 2, 239, 478

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

502 : 1, 2, 251, 502

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,478,348,502,274, is 1.

Now, the common factors can be found like this.

821:821

478:2x 239

348:2x 2x 3x 29

502:2x 251

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 2 = 8

Therefore, the value for common factors is 8.

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 = 18784713584352/(1x8)

LCM = 18784713584352/8

LCM = 2348089198044

Thus, we can understand that the LCM of 821,478,348,502,274 is 2348089198044.

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

• LCM of 150, 843, 580, 500, 139
• LCM of 524, 881, 855, 398, 836
• LCM of 300, 489, 266, 690, 449
• LCM of 775, 349, 929, 356, 439
• LCM of 220, 368, 488, 291, 581

1. What is the LCM of 821, 478, 348, 502, 274?

Answer: LCM of 821, 478, 348, 502, 274 is 2348089198044.

2. How to calculate the LCM of 821, 478, 348, 502, 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 821, 478, 348, 502, 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}.