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LCM of 788, 859, 596, 364

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


Find the LCM of 788, 859, 596, 364 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 788, 859, 596, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,859,596,364

Given numbers are 788,859,596,364

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

The LCM of 788,859,596,364 is 9177978628.

Find LCM of 788,859,596,364 with Prime Factorization


2 788, 859, 596, 364
2 394, 859, 298, 182
197, 859, 149, 91

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

2 x 2 x 197 x 859 x 149 x 91 = 9177978628

Therefore, the lowest common multiple of 788,859,596,364 is 9177978628.

LCM Formula to Find Lowest Common Multiple of 788,859,596,364

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.

788 x 859 x 596 x 364 = 146847658048

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.

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

859 : 1, 859

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,859,596,364, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

859:859

596:2x 2x 149

364:2x 2x 7x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 146847658048/(1x16)

LCM = 146847658048/16

LCM = 9177978628

Thus, we can understand that the LCM of 788,859,596,364 is 9177978628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 859, 596, 364

1. What is the LCM of 788, 859, 596, 364?

Answer: LCM of 788, 859, 596, 364 is 9177978628.

2. How to calculate the LCM of 788, 859, 596, 364?

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 788, 859, 596, 364.

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}.