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LCM of 756, 300, 517, 339, 619

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


Find the LCM of 756, 300, 517, 339, 619 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 756, 300, 517, 339, 619. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,300,517,339,619

Given numbers are 756,300,517,339,619

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

The LCM of 756,300,517,339,619 is 683473121100.

Find LCM of 756,300,517,339,619 with Prime Factorization


2 756, 300, 517, 339, 619
2 378, 150, 517, 339, 619
3 189, 75, 517, 339, 619
63, 25, 517, 113, 619

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

2 x 2 x 3 x 63 x 25 x 517 x 113 x 619 = 683473121100

Therefore, the lowest common multiple of 756,300,517,339,619 is 683473121100.

LCM Formula to Find Lowest Common Multiple of 756,300,517,339,619

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.

756 x 300 x 517 x 339 x 619 = 24605032359600

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

517 : 1, 11, 47, 517

339 : 1, 3, 113, 339

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,300,517,339,619, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

300:2x 2x 3x 5x 5

517:11x 47

339:3x 113

619:619

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 24605032359600/(1x36)

LCM = 24605032359600/36

LCM = 683473121100

Thus, we can understand that the LCM of 756,300,517,339,619 is 683473121100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 300, 517, 339, 619

1. What is the LCM of 756, 300, 517, 339, 619?

Answer: LCM of 756, 300, 517, 339, 619 is 683473121100.

2. How to calculate the LCM of 756, 300, 517, 339, 619?

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 756, 300, 517, 339, 619.

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}.