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LCM of 238, 965, 561, 521, 798

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


Find the LCM of 238, 965, 561, 521, 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 238, 965, 561, 521, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 238,965,561,521,798

Given numbers are 238,965,561,521,798

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

The LCM of 238,965,561,521,798 is 75025609890.

Find LCM of 238,965,561,521,798 with Prime Factorization


2 238, 965, 561, 521, 798
3 119, 965, 561, 521, 399
7 119, 965, 187, 521, 133
17 17, 965, 187, 521, 19
1, 965, 11, 521, 19

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

2 x 3 x 7 x 17 x 1 x 965 x 11 x 521 x 19 = 75025609890

Therefore, the lowest common multiple of 238,965,561,521,798 is 75025609890.

LCM Formula to Find Lowest Common Multiple of 238,965,561,521,798

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.

238 x 965 x 561 x 521 x 798 = 53568285461460

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

965 : 1, 5, 193, 965

561 : 1, 3, 11, 17, 33, 51, 187, 561

521 : 1, 521

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 238,965,561,521,798, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

965:5x 193

561:3x 11x 17

521:521

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 3x 7x 17 = 714

Therefore, the value for common factors is 714.

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 = 53568285461460/(1x714)

LCM = 53568285461460/714

LCM = 75025609890

Thus, we can understand that the LCM of 238,965,561,521,798 is 75025609890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 238, 965, 561, 521, 798

1. What is the LCM of 238, 965, 561, 521, 798?

Answer: LCM of 238, 965, 561, 521, 798 is 75025609890.

2. How to calculate the LCM of 238, 965, 561, 521, 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 238, 965, 561, 521, 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}.