Given numbers are 357,421,226,208,494

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

The LCM of 357,421,226,208,494 is 67119033072.

Find LCM of 357,421,226,208,494 with Prime Factorization

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

2 x 13 x 357 x 421 x 113 x 8 x 19 = 67119033072

Therefore, the lowest common multiple of 357,421,226,208,494 is 67119033072.

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.

357 x 421 x 226 x 208 x 494 = 3490189719744

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

421 : 1, 421

226 : 1, 2, 113, 226

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,421,226,208,494, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

421:421

226:2x 113

208:2x 2x 2x 2x 13

494:2x 13x 19

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 13 = 52

Therefore, the value for common factors is 52.

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 = 3490189719744/(1x52)

LCM = 3490189719744/52

LCM = 67119033072

Thus, we can understand that the LCM of 357,421,226,208,494 is 67119033072.

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

• LCM of 250, 610, 946, 650, 835
• LCM of 266, 748, 925, 946, 888
• LCM of 181, 140, 425, 752, 808
• LCM of 300, 480, 794, 707, 664
• LCM of 198, 883, 825, 620, 921

1. What is the LCM of 357, 421, 226, 208, 494?

Answer: LCM of 357, 421, 226, 208, 494 is 67119033072.

2. How to calculate the LCM of 357, 421, 226, 208, 494?

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 357, 421, 226, 208, 494.

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}.