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LCM of 195, 779, 437, 380

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


Find the LCM of 195, 779, 437, 380 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 195, 779, 437, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 195,779,437,380

Given numbers are 195,779,437,380

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

The LCM of 195,779,437,380 is 13975260.

Find LCM of 195,779,437,380 with Prime Factorization


5 195, 779, 437, 380
19 39, 779, 437, 76
39, 41, 23, 4

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

5 x 19 x 39 x 41 x 23 x 4 = 13975260

Therefore, the lowest common multiple of 195,779,437,380 is 13975260.

LCM Formula to Find Lowest Common Multiple of 195,779,437,380

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.

195 x 779 x 437 x 380 = 25225344300

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

779 : 1, 19, 41, 779

437 : 1, 19, 23, 437

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,779,437,380, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

779:19x 41

437:19x 23

380:2x 2x 5x 19

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

5x 19x 19 = 1805

Therefore, the value for common factors is 1805.

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 = 25225344300/(1x1805)

LCM = 25225344300/1805

LCM = 13975260

Thus, we can understand that the LCM of 195,779,437,380 is 13975260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 195, 779, 437, 380

1. What is the LCM of 195, 779, 437, 380?

Answer: LCM of 195, 779, 437, 380 is 13975260.

2. How to calculate the LCM of 195, 779, 437, 380?

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 195, 779, 437, 380.

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}.