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LCM of 912, 280, 656, 460, 942

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


Find the LCM of 912, 280, 656, 460, 942 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, 280, 656, 460, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,280,656,460,942

Given numbers are 912,280,656,460,942

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

The LCM of 912,280,656,460,942 is 4725787920.

Find LCM of 912,280,656,460,942 with Prime Factorization


2 912, 280, 656, 460, 942
2 456, 140, 328, 230, 471
2 228, 70, 164, 115, 471
2 114, 35, 82, 115, 471
3 57, 35, 41, 115, 471
5 19, 35, 41, 115, 157
19, 7, 41, 23, 157

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

2 x 2 x 2 x 2 x 3 x 5 x 19 x 7 x 41 x 23 x 157 = 4725787920

Therefore, the lowest common multiple of 912,280,656,460,942 is 4725787920.

LCM Formula to Find Lowest Common Multiple of 912,280,656,460,942

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 280 x 656 x 460 x 942 = 72588102451200

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

942 : 1, 2, 3, 6, 157, 314, 471, 942

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,280,656,460,942, is 2.

Now, the common factors can be found like this.

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

280:2x 2x 2x 5x 7

656:2x 2x 2x 2x 41

460:2x 2x 5x 23

942:2x 3x 157

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 2x 2x 2x 2x 3x 5 = 7680

Therefore, the value for common factors is 7680.

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 = 72588102451200/(2x7680)

LCM = 72588102451200/15360

LCM = 4725787920

Thus, we can understand that the LCM of 912,280,656,460,942 is 4725787920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 280, 656, 460, 942

1. What is the LCM of 912, 280, 656, 460, 942?

Answer: LCM of 912, 280, 656, 460, 942 is 4725787920.

2. How to calculate the LCM of 912, 280, 656, 460, 942?

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, 280, 656, 460, 942.

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}.