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LCM of 779, 312, 325, 590, 532

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


Find the LCM of 779, 312, 325, 590, 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 779, 312, 325, 590, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,312,325,590,532

Given numbers are 779,312,325,590,532

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

The LCM of 779,312,325,590,532 is 2509470600.

Find LCM of 779,312,325,590,532 with Prime Factorization


2 779, 312, 325, 590, 532
2 779, 156, 325, 295, 266
5 779, 78, 325, 295, 133
13 779, 78, 65, 59, 133
19 779, 6, 5, 59, 133
41, 6, 5, 59, 7

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

2 x 2 x 5 x 13 x 19 x 41 x 6 x 5 x 59 x 7 = 2509470600

Therefore, the lowest common multiple of 779,312,325,590,532 is 2509470600.

LCM Formula to Find Lowest Common Multiple of 779,312,325,590,532

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.

779 x 312 x 325 x 590 x 532 = 24793569528000

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.

779 : 1, 19, 41, 779

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

325 : 1, 5, 13, 25, 65, 325

590 : 1, 2, 5, 10, 59, 118, 295, 590

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 779,312,325,590,532, is 1.

Now, the common factors can be found like this.

779:19x 41

312:2x 2x 2x 3x 13

325:5x 5x 13

590:2x 5x 59

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 5x 13x 19 = 9880

Therefore, the value for common factors is 9880.

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 = 24793569528000/(1x9880)

LCM = 24793569528000/9880

LCM = 2509470600

Thus, we can understand that the LCM of 779,312,325,590,532 is 2509470600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 312, 325, 590, 532

1. What is the LCM of 779, 312, 325, 590, 532?

Answer: LCM of 779, 312, 325, 590, 532 is 2509470600.

2. How to calculate the LCM of 779, 312, 325, 590, 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 779, 312, 325, 590, 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}.