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LCM of 779, 849, 656, 548

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


Find the LCM of 779, 849, 656, 548 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, 849, 656, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,849,656,548

Given numbers are 779,849,656,548

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

The LCM of 779,849,656,548 is 1449725232.

Find LCM of 779,849,656,548 with Prime Factorization


2 779, 849, 656, 548
2 779, 849, 328, 274
41 779, 849, 164, 137
19, 849, 4, 137

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

2 x 2 x 41 x 19 x 849 x 4 x 137 = 1449725232

Therefore, the lowest common multiple of 779,849,656,548 is 1449725232.

LCM Formula to Find Lowest Common Multiple of 779,849,656,548

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 849 x 656 x 548 = 237754938048

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

849 : 1, 3, 283, 849

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,849,656,548, is 1.

Now, the common factors can be found like this.

779:19x 41

849:3x 283

656:2x 2x 2x 2x 41

548:2x 2x 137

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 41 = 164

Therefore, the value for common factors is 164.

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 = 237754938048/(1x164)

LCM = 237754938048/164

LCM = 1449725232

Thus, we can understand that the LCM of 779,849,656,548 is 1449725232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 849, 656, 548

1. What is the LCM of 779, 849, 656, 548?

Answer: LCM of 779, 849, 656, 548 is 1449725232.

2. How to calculate the LCM of 779, 849, 656, 548?

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, 849, 656, 548.

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}.