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LCM of 592, 640, 482, 840

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


Find the LCM of 592, 640, 482, 840 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 592, 640, 482, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,640,482,840

Given numbers are 592,640,482,840

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

The LCM of 592,640,482,840 is 119844480.

Find LCM of 592,640,482,840 with Prime Factorization


2 592, 640, 482, 840
2 296, 320, 241, 420
2 148, 160, 241, 210
2 74, 80, 241, 105
5 37, 40, 241, 105
37, 8, 241, 21

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

2 x 2 x 2 x 2 x 5 x 37 x 8 x 241 x 21 = 119844480

Therefore, the lowest common multiple of 592,640,482,840 is 119844480.

LCM Formula to Find Lowest Common Multiple of 592,640,482,840

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.

592 x 640 x 482 x 840 = 153400934400

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

482 : 1, 2, 241, 482

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,640,482,840, is 2.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

640:2x 2x 2x 2x 2x 2x 2x 5

482:2x 241

840:2x 2x 2x 3x 5x 7

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 2x 2x 2x 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 153400934400/(2x640)

LCM = 153400934400/1280

LCM = 119844480

Thus, we can understand that the LCM of 592,640,482,840 is 119844480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 640, 482, 840

1. What is the LCM of 592, 640, 482, 840?

Answer: LCM of 592, 640, 482, 840 is 119844480.

2. How to calculate the LCM of 592, 640, 482, 840?

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 592, 640, 482, 840.

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}.