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LCM of 494, 494, 377, 190

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


Find the LCM of 494, 494, 377, 190 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 494, 494, 377, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,494,377,190

Given numbers are 494,494,377,190

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

The LCM of 494,494,377,190 is 71630.

Find LCM of 494,494,377,190 with Prime Factorization


2 494, 494, 377, 190
13 247, 247, 377, 95
19 19, 19, 29, 95
1, 1, 29, 5

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

2 x 13 x 19 x 1 x 1 x 29 x 5 = 71630

Therefore, the lowest common multiple of 494,494,377,190 is 71630.

LCM Formula to Find Lowest Common Multiple of 494,494,377,190

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.

494 x 494 x 377 x 190 = 17480298680

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

494 : 1, 2, 13, 19, 26, 38, 247, 494

377 : 1, 13, 29, 377

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,494,377,190, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

494:2x 13x 19

377:13x 29

190:2x 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.

2x 2x 13x 13x 19x 19 = 244036

Therefore, the value for common factors is 244036.

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 = 17480298680/(1x244036)

LCM = 17480298680/244036

LCM = 71630

Thus, we can understand that the LCM of 494,494,377,190 is 71630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 494, 377, 190

1. What is the LCM of 494, 494, 377, 190?

Answer: LCM of 494, 494, 377, 190 is 71630.

2. How to calculate the LCM of 494, 494, 377, 190?

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 494, 494, 377, 190.

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}.