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LCM of 546, 523, 520, 779

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


Find the LCM of 546, 523, 520, 779 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 546, 523, 520, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,523,520,779

Given numbers are 546,523,520,779

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

The LCM of 546,523,520,779 is 4448993640.

Find LCM of 546,523,520,779 with Prime Factorization


2 546, 523, 520, 779
13 273, 523, 260, 779
21, 523, 20, 779

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

2 x 13 x 21 x 523 x 20 x 779 = 4448993640

Therefore, the lowest common multiple of 546,523,520,779 is 4448993640.

LCM Formula to Find Lowest Common Multiple of 546,523,520,779

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.

546 x 523 x 520 x 779 = 115673834640

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

523 : 1, 523

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,523,520,779, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

523:523

520:2x 2x 2x 5x 13

779:19x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 115673834640/(1x26)

LCM = 115673834640/26

LCM = 4448993640

Thus, we can understand that the LCM of 546,523,520,779 is 4448993640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 523, 520, 779

1. What is the LCM of 546, 523, 520, 779?

Answer: LCM of 546, 523, 520, 779 is 4448993640.

2. How to calculate the LCM of 546, 523, 520, 779?

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 546, 523, 520, 779.

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}.