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LCM of 426, 190, 131, 247

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


Find the LCM of 426, 190, 131, 247 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 426, 190, 131, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,190,131,247

Given numbers are 426,190,131,247

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

The LCM of 426,190,131,247 is 68920410.

Find LCM of 426,190,131,247 with Prime Factorization


2 426, 190, 131, 247
19 213, 95, 131, 247
213, 5, 131, 13

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

2 x 19 x 213 x 5 x 131 x 13 = 68920410

Therefore, the lowest common multiple of 426,190,131,247 is 68920410.

LCM Formula to Find Lowest Common Multiple of 426,190,131,247

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.

426 x 190 x 131 x 247 = 2618975580

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

190 : 1, 2, 5, 10, 19, 38, 95, 190

131 : 1, 131

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,190,131,247, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

190:2x 5x 19

131:131

247:13x 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 19 = 38

Therefore, the value for common factors is 38.

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 = 2618975580/(1x38)

LCM = 2618975580/38

LCM = 68920410

Thus, we can understand that the LCM of 426,190,131,247 is 68920410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 190, 131, 247

1. What is the LCM of 426, 190, 131, 247?

Answer: LCM of 426, 190, 131, 247 is 68920410.

2. How to calculate the LCM of 426, 190, 131, 247?

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 426, 190, 131, 247.

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}.