Given numbers are 420,167,985,698,353

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

The LCM of 420,167,985,698,353 is 1702284403260.

Find LCM of 420,167,985,698,353 with Prime Factorization

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

2 x 5 x 42 x 167 x 197 x 349 x 353 = 1702284403260

Therefore, the lowest common multiple of 420,167,985,698,353 is 1702284403260.

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.

420 x 167 x 985 x 698 x 353 = 17022844032600

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.

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

167 : 1, 167

985 : 1, 5, 197, 985

698 : 1, 2, 349, 698

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,167,985,698,353, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

167:167

985:5x 197

698:2x 349

353:353

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 17022844032600/(1x10)

LCM = 17022844032600/10

LCM = 1702284403260

Thus, we can understand that the LCM of 420,167,985,698,353 is 1702284403260.

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

• LCM of 129, 838, 479, 254, 758
• LCM of 415, 527, 842, 114, 934
• LCM of 352, 231, 695, 413, 679
• LCM of 244, 497, 472, 484, 842
• LCM of 600, 674, 837, 435, 605

1. What is the LCM of 420, 167, 985, 698, 353?

Answer: LCM of 420, 167, 985, 698, 353 is 1702284403260.

2. How to calculate the LCM of 420, 167, 985, 698, 353?

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 420, 167, 985, 698, 353.

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}.