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LCM of 823, 961, 373, 802, 838

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


Find the LCM of 823, 961, 373, 802, 838 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 823, 961, 373, 802, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 823,961,373,802,838

Given numbers are 823,961,373,802,838

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

The LCM of 823,961,373,802,838 is 99133501443122.

Find LCM of 823,961,373,802,838 with Prime Factorization


2 823, 961, 373, 802, 838
823, 961, 373, 401, 419

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

2 x 823 x 961 x 373 x 401 x 419 = 99133501443122

Therefore, the lowest common multiple of 823,961,373,802,838 is 99133501443122.

LCM Formula to Find Lowest Common Multiple of 823,961,373,802,838

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.

823 x 961 x 373 x 802 x 838 = 198267002886244

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.

823 : 1, 823

961 : 1, 31, 961

373 : 1, 373

802 : 1, 2, 401, 802

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,961,373,802,838, is 1.

Now, the common factors can be found like this.

823:823

961:31x 31

373:373

802:2x 401

838:2x 419

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

2 = 2

Therefore, the value for common factors is 2.

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 = 198267002886244/(1x2)

LCM = 198267002886244/2

LCM = 99133501443122

Thus, we can understand that the LCM of 823,961,373,802,838 is 99133501443122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 823, 961, 373, 802, 838

1. What is the LCM of 823, 961, 373, 802, 838?

Answer: LCM of 823, 961, 373, 802, 838 is 99133501443122.

2. How to calculate the LCM of 823, 961, 373, 802, 838?

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 823, 961, 373, 802, 838.

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}.