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LCM of 540, 382, 377, 910

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


Find the LCM of 540, 382, 377, 910 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 540, 382, 377, 910. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,382,377,910

Given numbers are 540,382,377,910

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

The LCM of 540,382,377,910 is 272186460.

Find LCM of 540,382,377,910 with Prime Factorization


2 540, 382, 377, 910
5 270, 191, 377, 455
13 54, 191, 377, 91
54, 191, 29, 7

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

2 x 5 x 13 x 54 x 191 x 29 x 7 = 272186460

Therefore, the lowest common multiple of 540,382,377,910 is 272186460.

LCM Formula to Find Lowest Common Multiple of 540,382,377,910

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.

540 x 382 x 377 x 910 = 70768479600

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

382 : 1, 2, 191, 382

377 : 1, 13, 29, 377

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,382,377,910, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

382:2x 191

377:13x 29

910:2x 5x 7x 13

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 5x 13 = 260

Therefore, the value for common factors is 260.

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 = 70768479600/(1x260)

LCM = 70768479600/260

LCM = 272186460

Thus, we can understand that the LCM of 540,382,377,910 is 272186460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 382, 377, 910

1. What is the LCM of 540, 382, 377, 910?

Answer: LCM of 540, 382, 377, 910 is 272186460.

2. How to calculate the LCM of 540, 382, 377, 910?

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 540, 382, 377, 910.

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}.