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LCM of 491, 935, 969, 364

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


Find the LCM of 491, 935, 969, 364 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 491, 935, 969, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,935,969,364

Given numbers are 491,935,969,364

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

The LCM of 491,935,969,364 is 9525095580.

Find LCM of 491,935,969,364 with Prime Factorization


17 491, 935, 969, 364
491, 55, 57, 364

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

17 x 491 x 55 x 57 x 364 = 9525095580

Therefore, the lowest common multiple of 491,935,969,364 is 9525095580.

LCM Formula to Find Lowest Common Multiple of 491,935,969,364

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.

491 x 935 x 969 x 364 = 161926624860

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.

491 : 1, 491

935 : 1, 5, 11, 17, 55, 85, 187, 935

969 : 1, 3, 17, 19, 51, 57, 323, 969

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,935,969,364, is 1.

Now, the common factors can be found like this.

491:491

935:5x 11x 17

969:3x 17x 19

364:2x 2x 7x 13

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

17 = 17

Therefore, the value for common factors is 17.

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 = 161926624860/(1x17)

LCM = 161926624860/17

LCM = 9525095580

Thus, we can understand that the LCM of 491,935,969,364 is 9525095580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 935, 969, 364

1. What is the LCM of 491, 935, 969, 364?

Answer: LCM of 491, 935, 969, 364 is 9525095580.

2. How to calculate the LCM of 491, 935, 969, 364?

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 491, 935, 969, 364.

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}.