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LCM of 991, 832, 276, 569

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


Find the LCM of 991, 832, 276, 569 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 991, 832, 276, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 991,832,276,569

Given numbers are 991,832,276,569

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

The LCM of 991,832,276,569 is 32371165632.

Find LCM of 991,832,276,569 with Prime Factorization


2 991, 832, 276, 569
2 991, 416, 138, 569
991, 208, 69, 569

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

2 x 2 x 991 x 208 x 69 x 569 = 32371165632

Therefore, the lowest common multiple of 991,832,276,569 is 32371165632.

LCM Formula to Find Lowest Common Multiple of 991,832,276,569

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.

991 x 832 x 276 x 569 = 129484662528

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.

991 : 1, 991

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,832,276,569, is 1.

Now, the common factors can be found like this.

991:991

832:2x 2x 2x 2x 2x 2x 13

276:2x 2x 3x 23

569:569

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 129484662528/(1x4)

LCM = 129484662528/4

LCM = 32371165632

Thus, we can understand that the LCM of 991,832,276,569 is 32371165632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 991, 832, 276, 569

1. What is the LCM of 991, 832, 276, 569?

Answer: LCM of 991, 832, 276, 569 is 32371165632.

2. How to calculate the LCM of 991, 832, 276, 569?

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 991, 832, 276, 569.

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}.