Given numbers are 674,312,401,982,628

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

The LCM of 674,312,401,982,628 is 3250199446728.

Find LCM of 674,312,401,982,628 with Prime Factorization

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

2 x 2 x 337 x 78 x 401 x 491 x 157 = 3250199446728

Therefore, the lowest common multiple of 674,312,401,982,628 is 3250199446728.

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 312 x 401 x 982 x 628 = 52003191147648

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

401 : 1, 401

982 : 1, 2, 491, 982

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,312,401,982,628, is 1.

Now, the common factors can be found like this.

674:2x 337

312:2x 2x 2x 3x 13

401:401

982:2x 491

628:2x 2x 157

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 = 52003191147648/(1x16)

LCM = 52003191147648/16

LCM = 3250199446728

Thus, we can understand that the LCM of 674,312,401,982,628 is 3250199446728.

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

• LCM of 856, 659, 729, 608, 410
• LCM of 630, 385, 327, 519, 894
• LCM of 493, 171, 965, 607, 276
• LCM of 331, 993, 222, 232, 925
• LCM of 702, 380, 925, 290, 968

1. What is the LCM of 674, 312, 401, 982, 628?

Answer: LCM of 674, 312, 401, 982, 628 is 3250199446728.

2. How to calculate the LCM of 674, 312, 401, 982, 628?

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, 312, 401, 982, 628.

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}.