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LCM of 261, 663, 277, 116, 975

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


Find the LCM of 261, 663, 277, 116, 975 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 261, 663, 277, 116, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,663,277,116,975

Given numbers are 261,663,277,116,975

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

The LCM of 261,663,277,116,975 is 1597763700.

Find LCM of 261,663,277,116,975 with Prime Factorization


3 261, 663, 277, 116, 975
13 87, 221, 277, 116, 325
29 87, 17, 277, 116, 25
3, 17, 277, 4, 25

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

3 x 13 x 29 x 3 x 17 x 277 x 4 x 25 = 1597763700

Therefore, the lowest common multiple of 261,663,277,116,975 is 1597763700.

LCM Formula to Find Lowest Common Multiple of 261,663,277,116,975

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.

261 x 663 x 277 x 116 x 975 = 5421212234100

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.

261 : 1, 3, 9, 29, 87, 261

663 : 1, 3, 13, 17, 39, 51, 221, 663

277 : 1, 277

116 : 1, 2, 4, 29, 58, 116

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,663,277,116,975, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

663:3x 13x 17

277:277

116:2x 2x 29

975:3x 5x 5x 13

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

3x 3x 13x 29 = 3393

Therefore, the value for common factors is 3393.

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 = 5421212234100/(1x3393)

LCM = 5421212234100/3393

LCM = 1597763700

Thus, we can understand that the LCM of 261,663,277,116,975 is 1597763700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 663, 277, 116, 975

1. What is the LCM of 261, 663, 277, 116, 975?

Answer: LCM of 261, 663, 277, 116, 975 is 1597763700.

2. How to calculate the LCM of 261, 663, 277, 116, 975?

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 261, 663, 277, 116, 975.

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}.