Given numbers are 142,186,249,920,422

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

The LCM of 142,186,249,920,422 is 106387271880.

Find LCM of 142,186,249,920,422 with Prime Factorization

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

2 x 3 x 71 x 31 x 83 x 460 x 211 = 106387271880

Therefore, the lowest common multiple of 142,186,249,920,422 is 106387271880.

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.

142 x 186 x 249 x 920 x 422 = 2553294525120

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.

142 : 1, 2, 71, 142

186 : 1, 2, 3, 6, 31, 62, 93, 186

249 : 1, 3, 83, 249

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,186,249,920,422, is 1.

Now, the common factors can be found like this.

142:2x 71

186:2x 3x 31

249:3x 83

920:2x 2x 2x 5x 23

422:2x 211

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2553294525120/(1x24)

LCM = 2553294525120/24

LCM = 106387271880

Thus, we can understand that the LCM of 142,186,249,920,422 is 106387271880.

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

• LCM of 859, 597, 812, 926, 807
• LCM of 992, 918, 360, 686, 743
• LCM of 166, 226, 561, 125, 337
• LCM of 317, 703, 732, 951, 600
• LCM of 773, 145, 298, 561, 111

1. What is the LCM of 142, 186, 249, 920, 422?

Answer: LCM of 142, 186, 249, 920, 422 is 106387271880.

2. How to calculate the LCM of 142, 186, 249, 920, 422?

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 142, 186, 249, 920, 422.

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}.