Given numbers are 674,232,398,466,428

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

The LCM of 674,232,398,466,428 is 387891855496.

Find LCM of 674,232,398,466,428 with Prime Factorization

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

2 x 2 x 337 x 58 x 199 x 233 x 107 = 387891855496

Therefore, the lowest common multiple of 674,232,398,466,428 is 387891855496.

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.

674 x 232 x 398 x 466 x 428 = 12412539375872

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.

674 : 1, 2, 337, 674

232 : 1, 2, 4, 8, 29, 58, 116, 232

398 : 1, 2, 199, 398

466 : 1, 2, 233, 466

428 : 1, 2, 4, 107, 214, 428

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,232,398,466,428, is 2.

Now, the common factors can be found like this.

674:2x 337

232:2x 2x 2x 29

398:2x 199

466:2x 233

428:2x 2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12412539375872/(2x16)

LCM = 12412539375872/32

LCM = 387891855496

Thus, we can understand that the LCM of 674,232,398,466,428 is 387891855496.

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

• LCM of 566, 318, 534, 869, 383
• LCM of 231, 479, 116, 817, 920
• LCM of 951, 147, 169, 773, 313
• LCM of 108, 145, 487, 489, 527
• LCM of 729, 213, 854, 474, 174

1. What is the LCM of 674, 232, 398, 466, 428?

Answer: LCM of 674, 232, 398, 466, 428 is 387891855496.

2. How to calculate the LCM of 674, 232, 398, 466, 428?

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 674, 232, 398, 466, 428.

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}.