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LCM of 137, 864, 850, 432, 214

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 137, 864, 850, 432, 214 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 137, 864, 850, 432, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 137,864,850,432,214

Given numbers are 137,864,850,432,214

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

The LCM of 137,864,850,432,214 is 5382784800.

Find LCM of 137,864,850,432,214 with Prime Factorization


2 137, 864, 850, 432, 214
2 137, 432, 425, 216, 107
2 137, 108, 425, 216, 107
2 137, 54, 425, 108, 107
3 137, 27, 425, 54, 107
3 137, 9, 425, 18, 107
3 137, 3, 425, 6, 107
137, 1, 425, 2, 107

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

2 x 2 x 2 x 2 x 3 x 3 x 3 x 137 x 1 x 425 x 2 x 107 = 5382784800

Therefore, the lowest common multiple of 137,864,850,432,214 is 5382784800.

LCM Formula to Find Lowest Common Multiple of 137,864,850,432,214

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.

137 x 864 x 850 x 432 x 214 = 9301452134400

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.

137 : 1, 137

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,864,850,432,214, is 1.

Now, the common factors can be found like this.

137:137

864:2x 2x 2x 2x 2x 3x 3x 3

850:2x 5x 5x 17

432:2x 2x 2x 2x 3x 3x 3

214:2x 107

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 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 9301452134400/(1x1728)

LCM = 9301452134400/1728

LCM = 5382784800

Thus, we can understand that the LCM of 137,864,850,432,214 is 5382784800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 137, 864, 850, 432, 214

1. What is the LCM of 137, 864, 850, 432, 214?

Answer: LCM of 137, 864, 850, 432, 214 is 5382784800.

2. How to calculate the LCM of 137, 864, 850, 432, 214?

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 137, 864, 850, 432, 214.

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}.