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LCM of 494, 977, 373, 408

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


Find the LCM of 494, 977, 373, 408 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, 977, 373, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,977,373,408

Given numbers are 494,977,373,408

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

The LCM of 494,977,373,408 is 36724890696.

Find LCM of 494,977,373,408 with Prime Factorization


2 494, 977, 373, 408
247, 977, 373, 204

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

2 x 247 x 977 x 373 x 204 = 36724890696

Therefore, the lowest common multiple of 494,977,373,408 is 36724890696.

LCM Formula to Find Lowest Common Multiple of 494,977,373,408

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 977 x 373 x 408 = 73449781392

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

977 : 1, 977

373 : 1, 373

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,977,373,408, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

977:977

373:373

408:2x 2x 2x 3x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 73449781392/(1x2)

LCM = 73449781392/2

LCM = 36724890696

Thus, we can understand that the LCM of 494,977,373,408 is 36724890696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 977, 373, 408

1. What is the LCM of 494, 977, 373, 408?

Answer: LCM of 494, 977, 373, 408 is 36724890696.

2. How to calculate the LCM of 494, 977, 373, 408?

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, 977, 373, 408.

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}.