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LCM of 485, 442, 767, 691

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


Find the LCM of 485, 442, 767, 691 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 485, 442, 767, 691. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,442,767,691

Given numbers are 485,442,767,691

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

The LCM of 485,442,767,691 is 8739650530.

Find LCM of 485,442,767,691 with Prime Factorization


13 485, 442, 767, 691
485, 34, 59, 691

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

13 x 485 x 34 x 59 x 691 = 8739650530

Therefore, the lowest common multiple of 485,442,767,691 is 8739650530.

LCM Formula to Find Lowest Common Multiple of 485,442,767,691

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.

485 x 442 x 767 x 691 = 113615456890

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.

485 : 1, 5, 97, 485

442 : 1, 2, 13, 17, 26, 34, 221, 442

767 : 1, 13, 59, 767

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,442,767,691, is 1.

Now, the common factors can be found like this.

485:5x 97

442:2x 13x 17

767:13x 59

691:691

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 = 113615456890/(1x13)

LCM = 113615456890/13

LCM = 8739650530

Thus, we can understand that the LCM of 485,442,767,691 is 8739650530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 485, 442, 767, 691

1. What is the LCM of 485, 442, 767, 691?

Answer: LCM of 485, 442, 767, 691 is 8739650530.

2. How to calculate the LCM of 485, 442, 767, 691?

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 485, 442, 767, 691.

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}.