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LCM of 936, 590, 442, 387

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


Find the LCM of 936, 590, 442, 387 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 936, 590, 442, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,590,442,387

Given numbers are 936,590,442,387

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

The LCM of 936,590,442,387 is 201843720.

Find LCM of 936,590,442,387 with Prime Factorization


2 936, 590, 442, 387
3 468, 295, 221, 387
3 156, 295, 221, 129
13 52, 295, 221, 43
4, 295, 17, 43

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

2 x 3 x 3 x 13 x 4 x 295 x 17 x 43 = 201843720

Therefore, the lowest common multiple of 936,590,442,387 is 201843720.

LCM Formula to Find Lowest Common Multiple of 936,590,442,387

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.

936 x 590 x 442 x 387 = 94462860960

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,590,442,387, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

590:2x 5x 59

442:2x 13x 17

387:3x 3x 43

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 94462860960/(1x468)

LCM = 94462860960/468

LCM = 201843720

Thus, we can understand that the LCM of 936,590,442,387 is 201843720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 590, 442, 387

1. What is the LCM of 936, 590, 442, 387?

Answer: LCM of 936, 590, 442, 387 is 201843720.

2. How to calculate the LCM of 936, 590, 442, 387?

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 936, 590, 442, 387.

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}.