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LCM of 847, 495, 705

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


Find the LCM of 847, 495, 705 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 847, 495, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 847,495,705

Given numbers are 847,495,705

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

The LCM of 847,495,705 is 1791405.

Find LCM of 847,495,705 with Prime Factorization


3 847, 495, 705
5 847, 165, 235
11 847, 33, 47
77, 3, 47

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

3 x 5 x 11 x 77 x 3 x 47 = 1791405

Therefore, the lowest common multiple of 847,495,705 is 1791405.

LCM Formula to Find Lowest Common Multiple of 847,495,705

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.

847 x 495 x 705 = 295581825

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.

847 : 1, 7, 11, 77, 121, 847

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

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,495,705, is 1.

Now, the common factors can be found like this.

847:7x 11x 11

495:3x 3x 5x 11

705:3x 5x 47

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 295581825/(1x165)

LCM = 295581825/165

LCM = 1791405

Thus, we can understand that the LCM of 847,495,705 is 1791405.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 847, 495, 705

1. What is the LCM of 847, 495, 705?

Answer: LCM of 847, 495, 705 is 1791405.

2. How to calculate the LCM of 847, 495, 705?

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 847, 495, 705.

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}.