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LCM of 377, 386, 508, 903, 563

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


Find the LCM of 377, 386, 508, 903, 563 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, 386, 508, 903, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,386,508,903,563

Given numbers are 377,386,508,903,563

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

The LCM of 377,386,508,903,563 is 18791373150732.

Find LCM of 377,386,508,903,563 with Prime Factorization


2 377, 386, 508, 903, 563
377, 193, 254, 903, 563

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

2 x 377 x 193 x 254 x 903 x 563 = 18791373150732

Therefore, the lowest common multiple of 377,386,508,903,563 is 18791373150732.

LCM Formula to Find Lowest Common Multiple of 377,386,508,903,563

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 386 x 508 x 903 x 563 = 37582746301464

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

386 : 1, 2, 193, 386

508 : 1, 2, 4, 127, 254, 508

903 : 1, 3, 7, 21, 43, 129, 301, 903

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,386,508,903,563, is 1.

Now, the common factors can be found like this.

377:13x 29

386:2x 193

508:2x 2x 127

903:3x 7x 43

563:563

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 = 37582746301464/(1x2)

LCM = 37582746301464/2

LCM = 18791373150732

Thus, we can understand that the LCM of 377,386,508,903,563 is 18791373150732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 386, 508, 903, 563

1. What is the LCM of 377, 386, 508, 903, 563?

Answer: LCM of 377, 386, 508, 903, 563 is 18791373150732.

2. How to calculate the LCM of 377, 386, 508, 903, 563?

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, 386, 508, 903, 563.

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}.