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LCM of 527, 935, 590, 390

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


Find the LCM of 527, 935, 590, 390 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, 935, 590, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,935,590,390

Given numbers are 527,935,590,390

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

The LCM of 527,935,590,390 is 133388970.

Find LCM of 527,935,590,390 with Prime Factorization


2 527, 935, 590, 390
5 527, 935, 295, 195
17 527, 187, 59, 39
31, 11, 59, 39

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

2 x 5 x 17 x 31 x 11 x 59 x 39 = 133388970

Therefore, the lowest common multiple of 527,935,590,390 is 133388970.

LCM Formula to Find Lowest Common Multiple of 527,935,590,390

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 935 x 590 x 390 = 113380624500

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

935 : 1, 5, 11, 17, 55, 85, 187, 935

590 : 1, 2, 5, 10, 59, 118, 295, 590

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,935,590,390, is 1.

Now, the common factors can be found like this.

527:17x 31

935:5x 11x 17

590:2x 5x 59

390:2x 3x 5x 13

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

2x 5x 5x 17 = 850

Therefore, the value for common factors is 850.

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 = 113380624500/(1x850)

LCM = 113380624500/850

LCM = 133388970

Thus, we can understand that the LCM of 527,935,590,390 is 133388970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 935, 590, 390

1. What is the LCM of 527, 935, 590, 390?

Answer: LCM of 527, 935, 590, 390 is 133388970.

2. How to calculate the LCM of 527, 935, 590, 390?

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, 935, 590, 390.

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}.