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LCM of 936, 676, 920, 161

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


Find the LCM of 936, 676, 920, 161 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, 676, 920, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,676,920,161

Given numbers are 936,676,920,161

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

The LCM of 936,676,920,161 is 9795240.

Find LCM of 936,676,920,161 with Prime Factorization


2 936, 676, 920, 161
2 468, 338, 460, 161
2 234, 169, 230, 161
13 117, 169, 115, 161
23 9, 13, 115, 161
9, 13, 5, 7

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

2 x 2 x 2 x 13 x 23 x 9 x 13 x 5 x 7 = 9795240

Therefore, the lowest common multiple of 936,676,920,161 is 9795240.

LCM Formula to Find Lowest Common Multiple of 936,676,920,161

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 676 x 920 x 161 = 93720856320

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,676,920,161, is 1.

Now, the common factors can be found like this.

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

676:2x 2x 13x 13

920:2x 2x 2x 5x 23

161:7x 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 2x 2x 13x 23 = 9568

Therefore, the value for common factors is 9568.

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 = 93720856320/(1x9568)

LCM = 93720856320/9568

LCM = 9795240

Thus, we can understand that the LCM of 936,676,920,161 is 9795240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 676, 920, 161

1. What is the LCM of 936, 676, 920, 161?

Answer: LCM of 936, 676, 920, 161 is 9795240.

2. How to calculate the LCM of 936, 676, 920, 161?

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, 676, 920, 161.

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}.