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LCM of 896, 851, 379, 289, 238

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


Find the LCM of 896, 851, 379, 289, 238 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 896, 851, 379, 289, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,851,379,289,238

Given numbers are 896,851,379,289,238

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

The LCM of 896,851,379,289,238 is 83516949376.

Find LCM of 896,851,379,289,238 with Prime Factorization


2 896, 851, 379, 289, 238
7 448, 851, 379, 289, 119
17 64, 851, 379, 289, 17
64, 851, 379, 1, 17

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

2 x 7 x 17 x 64 x 851 x 379 x 1 x 17 = 83516949376

Therefore, the lowest common multiple of 896,851,379,289,238 is 83516949376.

LCM Formula to Find Lowest Common Multiple of 896,851,379,289,238

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.

896 x 851 x 379 x 289 x 238 = 19877033951488

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

851 : 1, 23, 37, 851

379 : 1, 379

289 : 1, 17, 289

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,851,379,289,238, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

851:23x 37

379:379

289:17x 17

238:2x 7x 17

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

2x 7x 17 = 238

Therefore, the value for common factors is 238.

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 = 19877033951488/(1x238)

LCM = 19877033951488/238

LCM = 83516949376

Thus, we can understand that the LCM of 896,851,379,289,238 is 83516949376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 851, 379, 289, 238

1. What is the LCM of 896, 851, 379, 289, 238?

Answer: LCM of 896, 851, 379, 289, 238 is 83516949376.

2. How to calculate the LCM of 896, 851, 379, 289, 238?

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 896, 851, 379, 289, 238.

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}.