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LCM of 254, 268, 358, 851

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


Find the LCM of 254, 268, 358, 851 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 254, 268, 358, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,268,358,851

Given numbers are 254,268,358,851

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

The LCM of 254,268,358,851 is 5184669844.

Find LCM of 254,268,358,851 with Prime Factorization


2 254, 268, 358, 851
127, 134, 179, 851

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

2 x 127 x 134 x 179 x 851 = 5184669844

Therefore, the lowest common multiple of 254,268,358,851 is 5184669844.

LCM Formula to Find Lowest Common Multiple of 254,268,358,851

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.

254 x 268 x 358 x 851 = 20738679376

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.

254 : 1, 2, 127, 254

268 : 1, 2, 4, 67, 134, 268

358 : 1, 2, 179, 358

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,268,358,851, is 1.

Now, the common factors can be found like this.

254:2x 127

268:2x 2x 67

358:2x 179

851:23x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20738679376/(1x4)

LCM = 20738679376/4

LCM = 5184669844

Thus, we can understand that the LCM of 254,268,358,851 is 5184669844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 268, 358, 851

1. What is the LCM of 254, 268, 358, 851?

Answer: LCM of 254, 268, 358, 851 is 5184669844.

2. How to calculate the LCM of 254, 268, 358, 851?

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 254, 268, 358, 851.

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}.