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LCM of 561, 792, 251, 946

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


Find the LCM of 561, 792, 251, 946 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, 792, 251, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,792,251,946

Given numbers are 561,792,251,946

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

The LCM of 561,792,251,946 is 145316952.

Find LCM of 561,792,251,946 with Prime Factorization


2 561, 792, 251, 946
3 561, 396, 251, 473
11 187, 132, 251, 473
17, 12, 251, 43

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

2 x 3 x 11 x 17 x 12 x 251 x 43 = 145316952

Therefore, the lowest common multiple of 561,792,251,946 is 145316952.

LCM Formula to Find Lowest Common Multiple of 561,792,251,946

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 792 x 251 x 946 = 105500107152

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

251 : 1, 251

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,792,251,946, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

792:2x 2x 2x 3x 3x 11

251:251

946:2x 11x 43

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 11x 11 = 726

Therefore, the value for common factors is 726.

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 = 105500107152/(1x726)

LCM = 105500107152/726

LCM = 145316952

Thus, we can understand that the LCM of 561,792,251,946 is 145316952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 792, 251, 946

1. What is the LCM of 561, 792, 251, 946?

Answer: LCM of 561, 792, 251, 946 is 145316952.

2. How to calculate the LCM of 561, 792, 251, 946?

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, 792, 251, 946.

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}.