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LCM of 357, 514, 595, 758

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


Find the LCM of 357, 514, 595, 758 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 357, 514, 595, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,514,595,758

Given numbers are 357,514,595,758

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

The LCM of 357,514,595,758 is 347728710.

Find LCM of 357,514,595,758 with Prime Factorization


2 357, 514, 595, 758
7 357, 257, 595, 379
17 51, 257, 85, 379
3, 257, 5, 379

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

2 x 7 x 17 x 3 x 257 x 5 x 379 = 347728710

Therefore, the lowest common multiple of 357,514,595,758 is 347728710.

LCM Formula to Find Lowest Common Multiple of 357,514,595,758

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.

357 x 514 x 595 x 758 = 82759432980

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

514 : 1, 2, 257, 514

595 : 1, 5, 7, 17, 35, 85, 119, 595

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,514,595,758, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

514:2x 257

595:5x 7x 17

758:2x 379

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

2x 7x 17 = 238

Therefore, the value for common factors is 238.

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 = 82759432980/(1x238)

LCM = 82759432980/238

LCM = 347728710

Thus, we can understand that the LCM of 357,514,595,758 is 347728710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 514, 595, 758

1. What is the LCM of 357, 514, 595, 758?

Answer: LCM of 357, 514, 595, 758 is 347728710.

2. How to calculate the LCM of 357, 514, 595, 758?

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 357, 514, 595, 758.

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}.