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LCM of 912, 286, 920, 937

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


Find the LCM of 912, 286, 920, 937 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 912, 286, 920, 937. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,286,920,937

Given numbers are 912,286,920,937

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

The LCM of 912,286,920,937 is 14052976080.

Find LCM of 912,286,920,937 with Prime Factorization


2 912, 286, 920, 937
2 456, 143, 460, 937
2 228, 143, 230, 937
114, 143, 115, 937

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

2 x 2 x 2 x 114 x 143 x 115 x 937 = 14052976080

Therefore, the lowest common multiple of 912,286,920,937 is 14052976080.

LCM Formula to Find Lowest Common Multiple of 912,286,920,937

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.

912 x 286 x 920 x 937 = 224847617280

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

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

937 : 1, 937

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,286,920,937, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

286:2x 11x 13

920:2x 2x 2x 5x 23

937:937

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 2 = 16

Therefore, the value for common factors is 16.

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 = 224847617280/(1x16)

LCM = 224847617280/16

LCM = 14052976080

Thus, we can understand that the LCM of 912,286,920,937 is 14052976080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 286, 920, 937

1. What is the LCM of 912, 286, 920, 937?

Answer: LCM of 912, 286, 920, 937 is 14052976080.

2. How to calculate the LCM of 912, 286, 920, 937?

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 912, 286, 920, 937.

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}.