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LCM of 543, 377, 998, 502, 121

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


Find the LCM of 543, 377, 998, 502, 121 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 543, 377, 998, 502, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,377,998,502,121

Given numbers are 543,377,998,502,121

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

The LCM of 543,377,998,502,121 is 6204843225438.

Find LCM of 543,377,998,502,121 with Prime Factorization


2 543, 377, 998, 502, 121
543, 377, 499, 251, 121

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

2 x 543 x 377 x 499 x 251 x 121 = 6204843225438

Therefore, the lowest common multiple of 543,377,998,502,121 is 6204843225438.

LCM Formula to Find Lowest Common Multiple of 543,377,998,502,121

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.

543 x 377 x 998 x 502 x 121 = 12409686450876

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.

543 : 1, 3, 181, 543

377 : 1, 13, 29, 377

998 : 1, 2, 499, 998

502 : 1, 2, 251, 502

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,377,998,502,121, is 1.

Now, the common factors can be found like this.

543:3x 181

377:13x 29

998:2x 499

502:2x 251

121:11x 11

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 = 12409686450876/(1x2)

LCM = 12409686450876/2

LCM = 6204843225438

Thus, we can understand that the LCM of 543,377,998,502,121 is 6204843225438.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 377, 998, 502, 121

1. What is the LCM of 543, 377, 998, 502, 121?

Answer: LCM of 543, 377, 998, 502, 121 is 6204843225438.

2. How to calculate the LCM of 543, 377, 998, 502, 121?

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 543, 377, 998, 502, 121.

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}.