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LCM of 286, 180, 132, 947

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


Find the LCM of 286, 180, 132, 947 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 286, 180, 132, 947. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,180,132,947

Given numbers are 286,180,132,947

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

The LCM of 286,180,132,947 is 24375780.

Find LCM of 286,180,132,947 with Prime Factorization


2 286, 180, 132, 947
2 143, 90, 66, 947
3 143, 45, 33, 947
11 143, 15, 11, 947
13, 15, 1, 947

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

2 x 2 x 3 x 11 x 13 x 15 x 1 x 947 = 24375780

Therefore, the lowest common multiple of 286,180,132,947 is 24375780.

LCM Formula to Find Lowest Common Multiple of 286,180,132,947

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.

286 x 180 x 132 x 947 = 6435205920

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

947 : 1, 947

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,180,132,947, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

180:2x 2x 3x 3x 5

132:2x 2x 3x 11

947:947

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 11 = 264

Therefore, the value for common factors is 264.

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 = 6435205920/(1x264)

LCM = 6435205920/264

LCM = 24375780

Thus, we can understand that the LCM of 286,180,132,947 is 24375780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 180, 132, 947

1. What is the LCM of 286, 180, 132, 947?

Answer: LCM of 286, 180, 132, 947 is 24375780.

2. How to calculate the LCM of 286, 180, 132, 947?

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 286, 180, 132, 947.

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}.