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LCM of 779, 411, 378, 321, 137

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


Find the LCM of 779, 411, 378, 321, 137 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, 411, 378, 321, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,411,378,321,137

Given numbers are 779,411,378,321,137

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

The LCM of 779,411,378,321,137 is 4316518458.

Find LCM of 779,411,378,321,137 with Prime Factorization


3 779, 411, 378, 321, 137
137 779, 137, 126, 107, 137
779, 1, 126, 107, 1

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

3 x 137 x 779 x 1 x 126 x 107 x 1 = 4316518458

Therefore, the lowest common multiple of 779,411,378,321,137 is 4316518458.

LCM Formula to Find Lowest Common Multiple of 779,411,378,321,137

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 411 x 378 x 321 x 137 = 5322267258714

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

411 : 1, 3, 137, 411

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

321 : 1, 3, 107, 321

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,411,378,321,137, is 1.

Now, the common factors can be found like this.

779:19x 41

411:3x 137

378:2x 3x 3x 3x 7

321:3x 107

137:137

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

3x 3x 137 = 1233

Therefore, the value for common factors is 1233.

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 = 5322267258714/(1x1233)

LCM = 5322267258714/1233

LCM = 4316518458

Thus, we can understand that the LCM of 779,411,378,321,137 is 4316518458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 411, 378, 321, 137

1. What is the LCM of 779, 411, 378, 321, 137?

Answer: LCM of 779, 411, 378, 321, 137 is 4316518458.

2. How to calculate the LCM of 779, 411, 378, 321, 137?

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, 411, 378, 321, 137.

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}.