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LCM of 491, 967, 646, 967

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


Find the LCM of 491, 967, 646, 967 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, 967, 646, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,967,646,967

Given numbers are 491,967,646,967

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

The LCM of 491,967,646,967 is 306718862.

Find LCM of 491,967,646,967 with Prime Factorization


967 491, 967, 646, 967
491, 1, 646, 1

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

967 x 491 x 1 x 646 x 1 = 306718862

Therefore, the lowest common multiple of 491,967,646,967 is 306718862.

LCM Formula to Find Lowest Common Multiple of 491,967,646,967

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 967 x 646 x 967 = 296597139554

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

967 : 1, 967

646 : 1, 2, 17, 19, 34, 38, 323, 646

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,967,646,967, is 1.

Now, the common factors can be found like this.

491:491

967:967

646:2x 17x 19

967:967

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

967 = 967

Therefore, the value for common factors is 967.

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 = 296597139554/(1x967)

LCM = 296597139554/967

LCM = 306718862

Thus, we can understand that the LCM of 491,967,646,967 is 306718862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 967, 646, 967

1. What is the LCM of 491, 967, 646, 967?

Answer: LCM of 491, 967, 646, 967 is 306718862.

2. How to calculate the LCM of 491, 967, 646, 967?

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, 967, 646, 967.

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}.