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LCM of 615, 257, 242, 297

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


Find the LCM of 615, 257, 242, 297 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 615, 257, 242, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 615,257,242,297

Given numbers are 615,257,242,297

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

The LCM of 615,257,242,297 is 344243790.

Find LCM of 615,257,242,297 with Prime Factorization


3 615, 257, 242, 297
11 205, 257, 242, 99
205, 257, 22, 9

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

3 x 11 x 205 x 257 x 22 x 9 = 344243790

Therefore, the lowest common multiple of 615,257,242,297 is 344243790.

LCM Formula to Find Lowest Common Multiple of 615,257,242,297

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.

615 x 257 x 242 x 297 = 11360045070

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.

615 : 1, 3, 5, 15, 41, 123, 205, 615

257 : 1, 257

242 : 1, 2, 11, 22, 121, 242

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,257,242,297, is 1.

Now, the common factors can be found like this.

615:3x 5x 41

257:257

242:2x 11x 11

297:3x 3x 3x 11

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 11360045070/(1x33)

LCM = 11360045070/33

LCM = 344243790

Thus, we can understand that the LCM of 615,257,242,297 is 344243790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 615, 257, 242, 297

1. What is the LCM of 615, 257, 242, 297?

Answer: LCM of 615, 257, 242, 297 is 344243790.

2. How to calculate the LCM of 615, 257, 242, 297?

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 615, 257, 242, 297.

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}.