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LCM of 497, 979, 767, 473, 242

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


Find the LCM of 497, 979, 767, 473, 242 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 497, 979, 767, 473, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,979,767,473,242

Given numbers are 497,979,767,473,242

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

The LCM of 497,979,767,473,242 is 353041354666.

Find LCM of 497,979,767,473,242 with Prime Factorization


11 497, 979, 767, 473, 242
497, 89, 767, 43, 22

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

11 x 497 x 89 x 767 x 43 x 22 = 353041354666

Therefore, the lowest common multiple of 497,979,767,473,242 is 353041354666.

LCM Formula to Find Lowest Common Multiple of 497,979,767,473,242

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.

497 x 979 x 767 x 473 x 242 = 42718003914586

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.

497 : 1, 7, 71, 497

979 : 1, 11, 89, 979

767 : 1, 13, 59, 767

473 : 1, 11, 43, 473

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,979,767,473,242, is 1.

Now, the common factors can be found like this.

497:7x 71

979:11x 89

767:13x 59

473:11x 43

242:2x 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 11 = 121

Therefore, the value for common factors is 121.

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 = 42718003914586/(1x121)

LCM = 42718003914586/121

LCM = 353041354666

Thus, we can understand that the LCM of 497,979,767,473,242 is 353041354666.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 979, 767, 473, 242

1. What is the LCM of 497, 979, 767, 473, 242?

Answer: LCM of 497, 979, 767, 473, 242 is 353041354666.

2. How to calculate the LCM of 497, 979, 767, 473, 242?

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 497, 979, 767, 473, 242.

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}.