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LCM of 377, 494, 693, 509

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


Find the LCM of 377, 494, 693, 509 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 377, 494, 693, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,494,693,509

Given numbers are 377,494,693,509

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

The LCM of 377,494,693,509 is 5053310262.

Find LCM of 377,494,693,509 with Prime Factorization


13 377, 494, 693, 509
29, 38, 693, 509

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

13 x 29 x 38 x 693 x 509 = 5053310262

Therefore, the lowest common multiple of 377,494,693,509 is 5053310262.

LCM Formula to Find Lowest Common Multiple of 377,494,693,509

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.

377 x 494 x 693 x 509 = 65693033406

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.

377 : 1, 13, 29, 377

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

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,494,693,509, is 1.

Now, the common factors can be found like this.

377:13x 29

494:2x 13x 19

693:3x 3x 7x 11

509:509

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

13 = 13

Therefore, the value for common factors is 13.

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 = 65693033406/(1x13)

LCM = 65693033406/13

LCM = 5053310262

Thus, we can understand that the LCM of 377,494,693,509 is 5053310262.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 494, 693, 509

1. What is the LCM of 377, 494, 693, 509?

Answer: LCM of 377, 494, 693, 509 is 5053310262.

2. How to calculate the LCM of 377, 494, 693, 509?

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 377, 494, 693, 509.

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}.