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LCM of 168, 382, 175, 853, 320

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


Find the LCM of 168, 382, 175, 853, 320 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 168, 382, 175, 853, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,382,175,853,320

Given numbers are 168,382,175,853,320

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

The LCM of 168,382,175,853,320 is 5474212800.

Find LCM of 168,382,175,853,320 with Prime Factorization


2 168, 382, 175, 853, 320
2 84, 191, 175, 853, 160
2 42, 191, 175, 853, 80
5 21, 191, 175, 853, 40
7 21, 191, 35, 853, 8
3, 191, 5, 853, 8

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

2 x 2 x 2 x 5 x 7 x 3 x 191 x 5 x 853 x 8 = 5474212800

Therefore, the lowest common multiple of 168,382,175,853,320 is 5474212800.

LCM Formula to Find Lowest Common Multiple of 168,382,175,853,320

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.

168 x 382 x 175 x 853 x 320 = 3065559168000

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

382 : 1, 2, 191, 382

175 : 1, 5, 7, 25, 35, 175

853 : 1, 853

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,382,175,853,320, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

382:2x 191

175:5x 5x 7

853:853

320:2x 2x 2x 2x 2x 2x 5

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 5x 7 = 560

Therefore, the value for common factors is 560.

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 = 3065559168000/(1x560)

LCM = 3065559168000/560

LCM = 5474212800

Thus, we can understand that the LCM of 168,382,175,853,320 is 5474212800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 382, 175, 853, 320

1. What is the LCM of 168, 382, 175, 853, 320?

Answer: LCM of 168, 382, 175, 853, 320 is 5474212800.

2. How to calculate the LCM of 168, 382, 175, 853, 320?

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 168, 382, 175, 853, 320.

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}.