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LCM of 561, 138, 962, 460

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


Find the LCM of 561, 138, 962, 460 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 561, 138, 962, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,138,962,460

Given numbers are 561,138,962,460

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

The LCM of 561,138,962,460 is 124126860.

Find LCM of 561,138,962,460 with Prime Factorization


2 561, 138, 962, 460
3 561, 69, 481, 230
23 187, 23, 481, 230
187, 1, 481, 10

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

2 x 3 x 23 x 187 x 1 x 481 x 10 = 124126860

Therefore, the lowest common multiple of 561,138,962,460 is 124126860.

LCM Formula to Find Lowest Common Multiple of 561,138,962,460

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.

561 x 138 x 962 x 460 = 34259013360

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.

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

962 : 1, 2, 13, 26, 37, 74, 481, 962

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,138,962,460, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

138:2x 3x 23

962:2x 13x 37

460:2x 2x 5x 23

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 23 = 276

Therefore, the value for common factors is 276.

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 = 34259013360/(1x276)

LCM = 34259013360/276

LCM = 124126860

Thus, we can understand that the LCM of 561,138,962,460 is 124126860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 138, 962, 460

1. What is the LCM of 561, 138, 962, 460?

Answer: LCM of 561, 138, 962, 460 is 124126860.

2. How to calculate the LCM of 561, 138, 962, 460?

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 561, 138, 962, 460.

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}.