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LCM of 992, 112, 441, 558, 777

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


Find the LCM of 992, 112, 441, 558, 777 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 992, 112, 441, 558, 777. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 992,112,441,558,777

Given numbers are 992,112,441,558,777

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

The LCM of 992,112,441,558,777 is 16186464.

Find LCM of 992,112,441,558,777 with Prime Factorization


2 992, 112, 441, 558, 777
2 496, 56, 441, 279, 777
2 248, 28, 441, 279, 777
2 124, 14, 441, 279, 777
3 62, 7, 441, 279, 777
3 62, 7, 147, 93, 259
7 62, 7, 49, 31, 259
31 62, 1, 7, 31, 37
2, 1, 7, 1, 37

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

2 x 2 x 2 x 2 x 3 x 3 x 7 x 31 x 2 x 1 x 7 x 1 x 37 = 16186464

Therefore, the lowest common multiple of 992,112,441,558,777 is 16186464.

LCM Formula to Find Lowest Common Multiple of 992,112,441,558,777

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.

992 x 112 x 441 x 558 x 777 = 21243374337024

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

777 : 1, 3, 7, 21, 37, 111, 259, 777

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,112,441,558,777, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

112:2x 2x 2x 2x 7

441:3x 3x 7x 7

558:2x 3x 3x 31

777:3x 7x 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 3x 3x 3x 7x 7x 31 = 1312416

Therefore, the value for common factors is 1312416.

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 = 21243374337024/(1x1312416)

LCM = 21243374337024/1312416

LCM = 16186464

Thus, we can understand that the LCM of 992,112,441,558,777 is 16186464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 992, 112, 441, 558, 777

1. What is the LCM of 992, 112, 441, 558, 777?

Answer: LCM of 992, 112, 441, 558, 777 is 16186464.

2. How to calculate the LCM of 992, 112, 441, 558, 777?

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 992, 112, 441, 558, 777.

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}.