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LCM of 859, 495, 336, 825

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


Find the LCM of 859, 495, 336, 825 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 859, 495, 336, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,495,336,825

Given numbers are 859,495,336,825

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

The LCM of 859,495,336,825 is 238114800.

Find LCM of 859,495,336,825 with Prime Factorization


3 859, 495, 336, 825
5 859, 165, 112, 275
11 859, 33, 112, 55
859, 3, 112, 5

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

3 x 5 x 11 x 859 x 3 x 112 x 5 = 238114800

Therefore, the lowest common multiple of 859,495,336,825 is 238114800.

LCM Formula to Find Lowest Common Multiple of 859,495,336,825

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.

859 x 495 x 336 x 825 = 117866826000

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.

859 : 1, 859

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,495,336,825, is 1.

Now, the common factors can be found like this.

859:859

495:3x 3x 5x 11

336:2x 2x 2x 2x 3x 7

825:3x 5x 5x 11

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

3x 3x 5x 11 = 495

Therefore, the value for common factors is 495.

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 = 117866826000/(1x495)

LCM = 117866826000/495

LCM = 238114800

Thus, we can understand that the LCM of 859,495,336,825 is 238114800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 495, 336, 825

1. What is the LCM of 859, 495, 336, 825?

Answer: LCM of 859, 495, 336, 825 is 238114800.

2. How to calculate the LCM of 859, 495, 336, 825?

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 859, 495, 336, 825.

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}.