Given numbers are 101,209,209,490

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

The LCM of 101,209,209,490 is 10343410.

Find LCM of 101,209,209,490 with Prime Factorization

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

11 x 19 x 101 x 1 x 1 x 490 = 10343410

Therefore, the lowest common multiple of 101,209,209,490 is 10343410.

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.

101 x 209 x 209 x 490 = 2161772690

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.

101 : 1, 101

209 : 1, 11, 19, 209

209 : 1, 11, 19, 209

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,209,209,490, is 1.

Now, the common factors can be found like this.

101:101

209:11x 19

209:11x 19

490:2x 5x 7x 7

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

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 2161772690/(1x209)

LCM = 2161772690/209

LCM = 10343410

Thus, we can understand that the LCM of 101,209,209,490 is 10343410.

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

• LCM of 261, 300, 960, 933
• LCM of 944, 291, 490, 973
• LCM of 179, 825, 578, 792
• LCM of 724, 394, 904, 499
• LCM of 208, 499, 454, 532

1. What is the LCM of 101, 209, 209, 490?

Answer: LCM of 101, 209, 209, 490 is 10343410.

2. How to calculate the LCM of 101, 209, 209, 490?

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 101, 209, 209, 490.

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}.