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LCM of 936, 377, 579, 845, 780

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


Find the LCM of 936, 377, 579, 845, 780 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 936, 377, 579, 845, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,377,579,845,780

Given numbers are 936,377,579,845,780

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

The LCM of 936,377,579,845,780 is 340521480.

Find LCM of 936,377,579,845,780 with Prime Factorization


2 936, 377, 579, 845, 780
2 468, 377, 579, 845, 390
3 234, 377, 579, 845, 195
5 78, 377, 193, 845, 65
13 78, 377, 193, 169, 13
6, 29, 193, 1, 13

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

2 x 2 x 3 x 5 x 13 x 6 x 29 x 193 x 1 x 13 = 340521480

Therefore, the lowest common multiple of 936,377,579,845,780 is 340521480.

LCM Formula to Find Lowest Common Multiple of 936,377,579,845,780

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.

936 x 377 x 579 x 845 x 780 = 134662624480800

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

377 : 1, 13, 29, 377

579 : 1, 3, 193, 579

845 : 1, 5, 13, 65, 169, 845

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,377,579,845,780, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

377:13x 29

579:3x 193

845:5x 13x 13

780:2x 2x 3x 5x 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 3x 3x 5x 13x 13x 13 = 395460

Therefore, the value for common factors is 395460.

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 = 134662624480800/(1x395460)

LCM = 134662624480800/395460

LCM = 340521480

Thus, we can understand that the LCM of 936,377,579,845,780 is 340521480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 377, 579, 845, 780

1. What is the LCM of 936, 377, 579, 845, 780?

Answer: LCM of 936, 377, 579, 845, 780 is 340521480.

2. How to calculate the LCM of 936, 377, 579, 845, 780?

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 936, 377, 579, 845, 780.

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}.