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LCM of 101, 418, 254, 404, 267

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


Find the LCM of 101, 418, 254, 404, 267 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 101, 418, 254, 404, 267. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,418,254,404,267

Given numbers are 101,418,254,404,267

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

The LCM of 101,418,254,404,267 is 2863140324.

Find LCM of 101,418,254,404,267 with Prime Factorization


2 101, 418, 254, 404, 267
101 101, 209, 127, 202, 267
1, 209, 127, 2, 267

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

2 x 101 x 1 x 209 x 127 x 2 x 267 = 2863140324

Therefore, the lowest common multiple of 101,418,254,404,267 is 2863140324.

LCM Formula to Find Lowest Common Multiple of 101,418,254,404,267

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 418 x 254 x 404 x 267 = 1156708690896

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

254 : 1, 2, 127, 254

404 : 1, 2, 4, 101, 202, 404

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,418,254,404,267, is 1.

Now, the common factors can be found like this.

101:101

418:2x 11x 19

254:2x 127

404:2x 2x 101

267:3x 89

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 101 = 404

Therefore, the value for common factors is 404.

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 = 1156708690896/(1x404)

LCM = 1156708690896/404

LCM = 2863140324

Thus, we can understand that the LCM of 101,418,254,404,267 is 2863140324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 418, 254, 404, 267

1. What is the LCM of 101, 418, 254, 404, 267?

Answer: LCM of 101, 418, 254, 404, 267 is 2863140324.

2. How to calculate the LCM of 101, 418, 254, 404, 267?

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, 418, 254, 404, 267.

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}.