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LCM of 936, 918, 873, 965, 460

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


Find the LCM of 936, 918, 873, 965, 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 936, 918, 873, 965, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,918,873,965,460

Given numbers are 936,918,873,965,460

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

The LCM of 936,918,873,965,460 is 102771550440.

Find LCM of 936,918,873,965,460 with Prime Factorization


2 936, 918, 873, 965, 460
2 468, 459, 873, 965, 230
3 234, 459, 873, 965, 115
3 78, 153, 291, 965, 115
5 26, 51, 97, 965, 115
26, 51, 97, 193, 23

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

2 x 2 x 3 x 3 x 5 x 26 x 51 x 97 x 193 x 23 = 102771550440

Therefore, the lowest common multiple of 936,918,873,965,460 is 102771550440.

LCM Formula to Find Lowest Common Multiple of 936,918,873,965,460

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.

936 x 918 x 873 x 965 x 460 = 332979823425600

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

873 : 1, 3, 9, 97, 291, 873

965 : 1, 5, 193, 965

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 936,918,873,965,460, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

918:2x 3x 3x 3x 17

873:3x 3x 97

965:5x 193

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 2x 3x 3x 3x 3x 5 = 3240

Therefore, the value for common factors is 3240.

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 = 332979823425600/(1x3240)

LCM = 332979823425600/3240

LCM = 102771550440

Thus, we can understand that the LCM of 936,918,873,965,460 is 102771550440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 918, 873, 965, 460

1. What is the LCM of 936, 918, 873, 965, 460?

Answer: LCM of 936, 918, 873, 965, 460 is 102771550440.

2. How to calculate the LCM of 936, 918, 873, 965, 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 936, 918, 873, 965, 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}.