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LCM of 596, 779, 304, 611, 532

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


Find the LCM of 596, 779, 304, 611, 532 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 596, 779, 304, 611, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,779,304,611,532

Given numbers are 596,779,304,611,532

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

The LCM of 596,779,304,611,532 is 7942970672.

Find LCM of 596,779,304,611,532 with Prime Factorization


2 596, 779, 304, 611, 532
2 298, 779, 152, 611, 266
19 149, 779, 76, 611, 133
149, 41, 4, 611, 7

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

2 x 2 x 19 x 149 x 41 x 4 x 611 x 7 = 7942970672

Therefore, the lowest common multiple of 596,779,304,611,532 is 7942970672.

LCM Formula to Find Lowest Common Multiple of 596,779,304,611,532

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.

596 x 779 x 304 x 611 x 532 = 45878598601472

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.

596 : 1, 2, 4, 149, 298, 596

779 : 1, 19, 41, 779

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

611 : 1, 13, 47, 611

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,779,304,611,532, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

779:19x 41

304:2x 2x 2x 2x 19

611:13x 47

532:2x 2x 7x 19

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 2x 2x 19x 19 = 5776

Therefore, the value for common factors is 5776.

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 = 45878598601472/(1x5776)

LCM = 45878598601472/5776

LCM = 7942970672

Thus, we can understand that the LCM of 596,779,304,611,532 is 7942970672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 779, 304, 611, 532

1. What is the LCM of 596, 779, 304, 611, 532?

Answer: LCM of 596, 779, 304, 611, 532 is 7942970672.

2. How to calculate the LCM of 596, 779, 304, 611, 532?

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 596, 779, 304, 611, 532.

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}.