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LCM of 503, 391, 748, 121

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


Find the LCM of 503, 391, 748, 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 503, 391, 748, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 503,391,748,121

Given numbers are 503,391,748,121

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

The LCM of 503,391,748,121 is 95189732.

Find LCM of 503,391,748,121 with Prime Factorization


11 503, 391, 748, 121
17 503, 391, 68, 11
503, 23, 4, 11

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

11 x 17 x 503 x 23 x 4 x 11 = 95189732

Therefore, the lowest common multiple of 503,391,748,121 is 95189732.

LCM Formula to Find Lowest Common Multiple of 503,391,748,121

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.

503 x 391 x 748 x 121 = 17800479884

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.

503 : 1, 503

391 : 1, 17, 23, 391

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,391,748,121, is 1.

Now, the common factors can be found like this.

503:503

391:17x 23

748:2x 2x 11x 17

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.

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 17800479884/(1x187)

LCM = 17800479884/187

LCM = 95189732

Thus, we can understand that the LCM of 503,391,748,121 is 95189732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 503, 391, 748, 121

1. What is the LCM of 503, 391, 748, 121?

Answer: LCM of 503, 391, 748, 121 is 95189732.

2. How to calculate the LCM of 503, 391, 748, 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 503, 391, 748, 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}.