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LCM of 491, 237, 284, 662

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


Find the LCM of 491, 237, 284, 662 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, 237, 284, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,237,284,662

Given numbers are 491,237,284,662

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

The LCM of 491,237,284,662 is 10938963468.

Find LCM of 491,237,284,662 with Prime Factorization


2 491, 237, 284, 662
491, 237, 142, 331

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

2 x 491 x 237 x 142 x 331 = 10938963468

Therefore, the lowest common multiple of 491,237,284,662 is 10938963468.

LCM Formula to Find Lowest Common Multiple of 491,237,284,662

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 237 x 284 x 662 = 21877926936

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

237 : 1, 3, 79, 237

284 : 1, 2, 4, 71, 142, 284

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,237,284,662, is 1.

Now, the common factors can be found like this.

491:491

237:3x 79

284:2x 2x 71

662:2x 331

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

2 = 2

Therefore, the value for common factors is 2.

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 = 21877926936/(1x2)

LCM = 21877926936/2

LCM = 10938963468

Thus, we can understand that the LCM of 491,237,284,662 is 10938963468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 237, 284, 662

1. What is the LCM of 491, 237, 284, 662?

Answer: LCM of 491, 237, 284, 662 is 10938963468.

2. How to calculate the LCM of 491, 237, 284, 662?

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, 237, 284, 662.

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}.