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LCM of 756, 338, 377, 377

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


Find the LCM of 756, 338, 377, 377 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 756, 338, 377, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,338,377,377

Given numbers are 756,338,377,377

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

The LCM of 756,338,377,377 is 3705156.

Find LCM of 756,338,377,377 with Prime Factorization


2 756, 338, 377, 377
13 378, 169, 377, 377
29 378, 13, 29, 29
378, 13, 1, 1

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

2 x 13 x 29 x 378 x 13 x 1 x 1 = 3705156

Therefore, the lowest common multiple of 756,338,377,377 is 3705156.

LCM Formula to Find Lowest Common Multiple of 756,338,377,377

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.

756 x 338 x 377 x 377 = 36317939112

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

338 : 1, 2, 13, 26, 169, 338

377 : 1, 13, 29, 377

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,338,377,377, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

338:2x 13x 13

377:13x 29

377:13x 29

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

2x 13x 13x 29 = 9802

Therefore, the value for common factors is 9802.

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 = 36317939112/(1x9802)

LCM = 36317939112/9802

LCM = 3705156

Thus, we can understand that the LCM of 756,338,377,377 is 3705156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 338, 377, 377

1. What is the LCM of 756, 338, 377, 377?

Answer: LCM of 756, 338, 377, 377 is 3705156.

2. How to calculate the LCM of 756, 338, 377, 377?

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 756, 338, 377, 377.

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}.