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LCM of 519, 613, 640, 314, 772

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


Find the LCM of 519, 613, 640, 314, 772 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 519, 613, 640, 314, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 519,613,640,314,772

Given numbers are 519,613,640,314,772

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

The LCM of 519,613,640,314,772 is 6169710238080.

Find LCM of 519,613,640,314,772 with Prime Factorization


2 519, 613, 640, 314, 772
2 519, 613, 320, 157, 386
519, 613, 160, 157, 193

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

2 x 2 x 519 x 613 x 160 x 157 x 193 = 6169710238080

Therefore, the lowest common multiple of 519,613,640,314,772 is 6169710238080.

LCM Formula to Find Lowest Common Multiple of 519,613,640,314,772

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.

519 x 613 x 640 x 314 x 772 = 49357681904640

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.

519 : 1, 3, 173, 519

613 : 1, 613

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

314 : 1, 2, 157, 314

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,613,640,314,772, is 1.

Now, the common factors can be found like this.

519:3x 173

613:613

640:2x 2x 2x 2x 2x 2x 2x 5

314:2x 157

772:2x 2x 193

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 2 = 8

Therefore, the value for common factors is 8.

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 = 49357681904640/(1x8)

LCM = 49357681904640/8

LCM = 6169710238080

Thus, we can understand that the LCM of 519,613,640,314,772 is 6169710238080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 519, 613, 640, 314, 772

1. What is the LCM of 519, 613, 640, 314, 772?

Answer: LCM of 519, 613, 640, 314, 772 is 6169710238080.

2. How to calculate the LCM of 519, 613, 640, 314, 772?

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 519, 613, 640, 314, 772.

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}.