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LCM of 691, 491, 830, 491

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


Find the LCM of 691, 491, 830, 491 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 691, 491, 830, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 691,491,830,491

Given numbers are 691,491,830,491

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

The LCM of 691,491,830,491 is 281603230.

Find LCM of 691,491,830,491 with Prime Factorization


491 691, 491, 830, 491
691, 1, 830, 1

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

491 x 691 x 1 x 830 x 1 = 281603230

Therefore, the lowest common multiple of 691,491,830,491 is 281603230.

LCM Formula to Find Lowest Common Multiple of 691,491,830,491

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.

691 x 491 x 830 x 491 = 138267185930

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.

691 : 1, 691

491 : 1, 491

830 : 1, 2, 5, 10, 83, 166, 415, 830

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,491,830,491, is 1.

Now, the common factors can be found like this.

691:691

491:491

830:2x 5x 83

491:491

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

491 = 491

Therefore, the value for common factors is 491.

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 = 138267185930/(1x491)

LCM = 138267185930/491

LCM = 281603230

Thus, we can understand that the LCM of 691,491,830,491 is 281603230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 691, 491, 830, 491

1. What is the LCM of 691, 491, 830, 491?

Answer: LCM of 691, 491, 830, 491 is 281603230.

2. How to calculate the LCM of 691, 491, 830, 491?

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 691, 491, 830, 491.

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}.