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LCM of 506, 873, 137, 524, 452

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


Find the LCM of 506, 873, 137, 524, 452 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 506, 873, 137, 524, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,873,137,524,452

Given numbers are 506,873,137,524,452

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

The LCM of 506,873,137,524,452 is 1791699046236.

Find LCM of 506,873,137,524,452 with Prime Factorization


2 506, 873, 137, 524, 452
2 253, 873, 137, 262, 226
253, 873, 137, 131, 113

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

2 x 2 x 253 x 873 x 137 x 131 x 113 = 1791699046236

Therefore, the lowest common multiple of 506,873,137,524,452 is 1791699046236.

LCM Formula to Find Lowest Common Multiple of 506,873,137,524,452

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.

506 x 873 x 137 x 524 x 452 = 14333592369888

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

873 : 1, 3, 9, 97, 291, 873

137 : 1, 137

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

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,873,137,524,452, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

873:3x 3x 97

137:137

524:2x 2x 131

452:2x 2x 113

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 = 14333592369888/(1x8)

LCM = 14333592369888/8

LCM = 1791699046236

Thus, we can understand that the LCM of 506,873,137,524,452 is 1791699046236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 873, 137, 524, 452

1. What is the LCM of 506, 873, 137, 524, 452?

Answer: LCM of 506, 873, 137, 524, 452 is 1791699046236.

2. How to calculate the LCM of 506, 873, 137, 524, 452?

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 506, 873, 137, 524, 452.

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}.