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LCM of 494, 268, 737, 818

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


Find the LCM of 494, 268, 737, 818 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 494, 268, 737, 818. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,268,737,818

Given numbers are 494,268,737,818

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

The LCM of 494,268,737,818 is 297815804.

Find LCM of 494,268,737,818 with Prime Factorization


2 494, 268, 737, 818
67 247, 134, 737, 409
247, 2, 11, 409

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

2 x 67 x 247 x 2 x 11 x 409 = 297815804

Therefore, the lowest common multiple of 494,268,737,818 is 297815804.

LCM Formula to Find Lowest Common Multiple of 494,268,737,818

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.

494 x 268 x 737 x 818 = 79814635472

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

268 : 1, 2, 4, 67, 134, 268

737 : 1, 11, 67, 737

818 : 1, 2, 409, 818

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,268,737,818, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

268:2x 2x 67

737:11x 67

818:2x 409

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 67 = 268

Therefore, the value for common factors is 268.

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 = 79814635472/(1x268)

LCM = 79814635472/268

LCM = 297815804

Thus, we can understand that the LCM of 494,268,737,818 is 297815804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 268, 737, 818

1. What is the LCM of 494, 268, 737, 818?

Answer: LCM of 494, 268, 737, 818 is 297815804.

2. How to calculate the LCM of 494, 268, 737, 818?

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 494, 268, 737, 818.

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}.