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LCM of 527, 531, 837, 782

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


Find the LCM of 527, 531, 837, 782 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 527, 531, 837, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,531,837,782

Given numbers are 527,531,837,782

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

The LCM of 527,531,837,782 is 38617506.

Find LCM of 527,531,837,782 with Prime Factorization


3 527, 531, 837, 782
3 527, 177, 279, 782
17 527, 59, 93, 782
31 31, 59, 93, 46
1, 59, 3, 46

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

3 x 3 x 17 x 31 x 1 x 59 x 3 x 46 = 38617506

Therefore, the lowest common multiple of 527,531,837,782 is 38617506.

LCM Formula to Find Lowest Common Multiple of 527,531,837,782

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.

527 x 531 x 837 x 782 = 183162830958

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.

527 : 1, 17, 31, 527

531 : 1, 3, 9, 59, 177, 531

837 : 1, 3, 9, 27, 31, 93, 279, 837

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,531,837,782, is 1.

Now, the common factors can be found like this.

527:17x 31

531:3x 3x 59

837:3x 3x 3x 31

782:2x 17x 23

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

3x 3x 17x 31 = 4743

Therefore, the value for common factors is 4743.

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 = 183162830958/(1x4743)

LCM = 183162830958/4743

LCM = 38617506

Thus, we can understand that the LCM of 527,531,837,782 is 38617506.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 531, 837, 782

1. What is the LCM of 527, 531, 837, 782?

Answer: LCM of 527, 531, 837, 782 is 38617506.

2. How to calculate the LCM of 527, 531, 837, 782?

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 527, 531, 837, 782.

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}.