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LCM of 491, 296, 372, 922

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


Find the LCM of 491, 296, 372, 922 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, 296, 372, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,296,372,922

Given numbers are 491,296,372,922

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

The LCM of 491,296,372,922 is 6230990328.

Find LCM of 491,296,372,922 with Prime Factorization


2 491, 296, 372, 922
2 491, 148, 186, 461
491, 74, 93, 461

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

2 x 2 x 491 x 74 x 93 x 461 = 6230990328

Therefore, the lowest common multiple of 491,296,372,922 is 6230990328.

LCM Formula to Find Lowest Common Multiple of 491,296,372,922

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 296 x 372 x 922 = 49847922624

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,296,372,922, is 1.

Now, the common factors can be found like this.

491:491

296:2x 2x 2x 37

372:2x 2x 3x 31

922:2x 461

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 49847922624/(1x8)

LCM = 49847922624/8

LCM = 6230990328

Thus, we can understand that the LCM of 491,296,372,922 is 6230990328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 296, 372, 922

1. What is the LCM of 491, 296, 372, 922?

Answer: LCM of 491, 296, 372, 922 is 6230990328.

2. How to calculate the LCM of 491, 296, 372, 922?

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, 296, 372, 922.

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}.