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LCM of 847, 370, 755, 802

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


Find the LCM of 847, 370, 755, 802 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, 370, 755, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 847,370,755,802

Given numbers are 847,370,755,802

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

The LCM of 847,370,755,802 is 18976077890.

Find LCM of 847,370,755,802 with Prime Factorization


2 847, 370, 755, 802
5 847, 185, 755, 401
847, 37, 151, 401

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

2 x 5 x 847 x 37 x 151 x 401 = 18976077890

Therefore, the lowest common multiple of 847,370,755,802 is 18976077890.

LCM Formula to Find Lowest Common Multiple of 847,370,755,802

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 370 x 755 x 802 = 189760778900

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

755 : 1, 5, 151, 755

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,370,755,802, is 1.

Now, the common factors can be found like this.

847:7x 11x 11

370:2x 5x 37

755:5x 151

802:2x 401

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 189760778900/(1x10)

LCM = 189760778900/10

LCM = 18976077890

Thus, we can understand that the LCM of 847,370,755,802 is 18976077890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 847, 370, 755, 802

1. What is the LCM of 847, 370, 755, 802?

Answer: LCM of 847, 370, 755, 802 is 18976077890.

2. How to calculate the LCM of 847, 370, 755, 802?

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, 370, 755, 802.

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}.