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LCM of 254, 989, 227, 742, 359

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


Find the LCM of 254, 989, 227, 742, 359 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, 989, 227, 742, 359. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,989,227,742,359

Given numbers are 254,989,227,742,359

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

The LCM of 254,989,227,742,359 is 7594937837018.

Find LCM of 254,989,227,742,359 with Prime Factorization


2 254, 989, 227, 742, 359
127, 989, 227, 371, 359

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

2 x 127 x 989 x 227 x 371 x 359 = 7594937837018

Therefore, the lowest common multiple of 254,989,227,742,359 is 7594937837018.

LCM Formula to Find Lowest Common Multiple of 254,989,227,742,359

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 989 x 227 x 742 x 359 = 15189875674036

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

989 : 1, 23, 43, 989

227 : 1, 227

742 : 1, 2, 7, 14, 53, 106, 371, 742

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,989,227,742,359, is 1.

Now, the common factors can be found like this.

254:2x 127

989:23x 43

227:227

742:2x 7x 53

359:359

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

2 = 2

Therefore, the value for common factors is 2.

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 = 15189875674036/(1x2)

LCM = 15189875674036/2

LCM = 7594937837018

Thus, we can understand that the LCM of 254,989,227,742,359 is 7594937837018.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 989, 227, 742, 359

1. What is the LCM of 254, 989, 227, 742, 359?

Answer: LCM of 254, 989, 227, 742, 359 is 7594937837018.

2. How to calculate the LCM of 254, 989, 227, 742, 359?

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, 989, 227, 742, 359.

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}.