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LCM of 341, 370, 517, 762

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


Find the LCM of 341, 370, 517, 762 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 341, 370, 517, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,370,517,762

Given numbers are 341,370,517,762

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

The LCM of 341,370,517,762 is 2259326190.

Find LCM of 341,370,517,762 with Prime Factorization


2 341, 370, 517, 762
11 341, 185, 517, 381
31, 185, 47, 381

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

2 x 11 x 31 x 185 x 47 x 381 = 2259326190

Therefore, the lowest common multiple of 341,370,517,762 is 2259326190.

LCM Formula to Find Lowest Common Multiple of 341,370,517,762

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.

341 x 370 x 517 x 762 = 49705176180

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.

341 : 1, 11, 31, 341

370 : 1, 2, 5, 10, 37, 74, 185, 370

517 : 1, 11, 47, 517

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,370,517,762, is 1.

Now, the common factors can be found like this.

341:11x 31

370:2x 5x 37

517:11x 47

762:2x 3x 127

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 49705176180/(1x22)

LCM = 49705176180/22

LCM = 2259326190

Thus, we can understand that the LCM of 341,370,517,762 is 2259326190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 370, 517, 762

1. What is the LCM of 341, 370, 517, 762?

Answer: LCM of 341, 370, 517, 762 is 2259326190.

2. How to calculate the LCM of 341, 370, 517, 762?

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 341, 370, 517, 762.

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}.