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LCM of 991, 912, 880, 733, 592

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


Find the LCM of 991, 912, 880, 733, 592 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 991, 912, 880, 733, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 991,912,880,733,592

Given numbers are 991,912,880,733,592

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

The LCM of 991,912,880,733,592 is 1348145855760.

Find LCM of 991,912,880,733,592 with Prime Factorization


2 991, 912, 880, 733, 592
2 991, 456, 440, 733, 296
2 991, 228, 220, 733, 148
2 991, 114, 110, 733, 74
991, 57, 55, 733, 37

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

2 x 2 x 2 x 2 x 991 x 57 x 55 x 733 x 37 = 1348145855760

Therefore, the lowest common multiple of 991,912,880,733,592 is 1348145855760.

LCM Formula to Find Lowest Common Multiple of 991,912,880,733,592

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.

991 x 912 x 880 x 733 x 592 = 345125339074560

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.

991 : 1, 991

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

733 : 1, 733

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,912,880,733,592, is 1.

Now, the common factors can be found like this.

991:991

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

880:2x 2x 2x 2x 5x 11

733:733

592:2x 2x 2x 2x 37

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 2 = 256

Therefore, the value for common factors is 256.

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 = 345125339074560/(1x256)

LCM = 345125339074560/256

LCM = 1348145855760

Thus, we can understand that the LCM of 991,912,880,733,592 is 1348145855760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 991, 912, 880, 733, 592

1. What is the LCM of 991, 912, 880, 733, 592?

Answer: LCM of 991, 912, 880, 733, 592 is 1348145855760.

2. How to calculate the LCM of 991, 912, 880, 733, 592?

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 991, 912, 880, 733, 592.

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}.