Given numbers are 674,251,420,298

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

The LCM of 674,251,420,298 is 5293454460.

Find LCM of 674,251,420,298 with Prime Factorization

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

2 x 337 x 251 x 210 x 149 = 5293454460

Therefore, the lowest common multiple of 674,251,420,298 is 5293454460.

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 251 x 420 x 298 = 21173817840

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

251 : 1, 251

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,251,420,298, is 1.

Now, the common factors can be found like this.

674:2x 337

251:251

420:2x 2x 3x 5x 7

298:2x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21173817840/(1x4)

LCM = 21173817840/4

LCM = 5293454460

Thus, we can understand that the LCM of 674,251,420,298 is 5293454460.

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

• LCM of 750, 414, 662, 906
• LCM of 783, 166, 657, 251
• LCM of 148, 287, 827, 470
• LCM of 890, 211, 489, 340
• LCM of 940, 532, 290, 832

1. What is the LCM of 674, 251, 420, 298?

Answer: LCM of 674, 251, 420, 298 is 5293454460.

2. How to calculate the LCM of 674, 251, 420, 298?

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, 251, 420, 298.

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}.