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LCM of 524, 393, 841

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


Find the LCM of 524, 393, 841 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 524, 393, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,393,841

Given numbers are 524,393,841

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

The LCM of 524,393,841 is 1322052.

Find LCM of 524,393,841 with Prime Factorization


131 524, 393, 841
4, 3, 841

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

131 x 4 x 3 x 841 = 1322052

Therefore, the lowest common multiple of 524,393,841 is 1322052.

LCM Formula to Find Lowest Common Multiple of 524,393,841

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.

524 x 393 x 841 = 173188812

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.

524 : 1, 2, 4, 131, 262, 524

393 : 1, 3, 131, 393

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,393,841, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

393:3x 131

841:29x 29

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

131 = 131

Therefore, the value for common factors is 131.

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 = 173188812/(1x131)

LCM = 173188812/131

LCM = 1322052

Thus, we can understand that the LCM of 524,393,841 is 1322052.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 524, 393, 841

1. What is the LCM of 524, 393, 841?

Answer: LCM of 524, 393, 841 is 1322052.

2. How to calculate the LCM of 524, 393, 841?

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 524, 393, 841.

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}.