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LCM of 836, 765, 674, 798

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


Find the LCM of 836, 765, 674, 798 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 836, 765, 674, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,765,674,798

Given numbers are 836,765,674,798

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

The LCM of 836,765,674,798 is 1508674860.

Find LCM of 836,765,674,798 with Prime Factorization


2 836, 765, 674, 798
3 418, 765, 337, 399
19 418, 255, 337, 133
22, 255, 337, 7

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

2 x 3 x 19 x 22 x 255 x 337 x 7 = 1508674860

Therefore, the lowest common multiple of 836,765,674,798 is 1508674860.

LCM Formula to Find Lowest Common Multiple of 836,765,674,798

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.

836 x 765 x 674 x 798 = 343977868080

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

674 : 1, 2, 337, 674

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,765,674,798, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

765:3x 3x 5x 17

674:2x 337

798:2x 3x 7x 19

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 343977868080/(1x228)

LCM = 343977868080/228

LCM = 1508674860

Thus, we can understand that the LCM of 836,765,674,798 is 1508674860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 765, 674, 798

1. What is the LCM of 836, 765, 674, 798?

Answer: LCM of 836, 765, 674, 798 is 1508674860.

2. How to calculate the LCM of 836, 765, 674, 798?

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 836, 765, 674, 798.

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}.