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LCM of 532, 416, 772, 351, 788

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


Find the LCM of 532, 416, 772, 351, 788 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 532, 416, 772, 351, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 532,416,772,351,788

Given numbers are 532,416,772,351,788

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

The LCM of 532,416,772,351,788 is 56797898976.

Find LCM of 532,416,772,351,788 with Prime Factorization


2 532, 416, 772, 351, 788
2 266, 208, 386, 351, 394
13 133, 104, 193, 351, 197
133, 8, 193, 27, 197

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

2 x 2 x 13 x 133 x 8 x 193 x 27 x 197 = 56797898976

Therefore, the lowest common multiple of 532,416,772,351,788 is 56797898976.

LCM Formula to Find Lowest Common Multiple of 532,416,772,351,788

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.

532 x 416 x 772 x 351 x 788 = 47255851948032

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.

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,416,772,351,788, is 1.

Now, the common factors can be found like this.

532:2x 2x 7x 19

416:2x 2x 2x 2x 2x 13

772:2x 2x 193

351:3x 3x 3x 13

788:2x 2x 197

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 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 47255851948032/(1x832)

LCM = 47255851948032/832

LCM = 56797898976

Thus, we can understand that the LCM of 532,416,772,351,788 is 56797898976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 532, 416, 772, 351, 788

1. What is the LCM of 532, 416, 772, 351, 788?

Answer: LCM of 532, 416, 772, 351, 788 is 56797898976.

2. How to calculate the LCM of 532, 416, 772, 351, 788?

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 532, 416, 772, 351, 788.

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}.