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LCM of 883, 843, 172, 991, 692

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


Find the LCM of 883, 843, 172, 991, 692 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 883, 843, 172, 991, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 883,843,172,991,692

Given numbers are 883,843,172,991,692

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

The LCM of 883,843,172,991,692 is 21950098968324.

Find LCM of 883,843,172,991,692 with Prime Factorization


2 883, 843, 172, 991, 692
2 883, 843, 86, 991, 346
883, 843, 43, 991, 173

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

2 x 2 x 883 x 843 x 43 x 991 x 173 = 21950098968324

Therefore, the lowest common multiple of 883,843,172,991,692 is 21950098968324.

LCM Formula to Find Lowest Common Multiple of 883,843,172,991,692

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.

883 x 843 x 172 x 991 x 692 = 87800395873296

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.

883 : 1, 883

843 : 1, 3, 281, 843

172 : 1, 2, 4, 43, 86, 172

991 : 1, 991

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,843,172,991,692, is 1.

Now, the common factors can be found like this.

883:883

843:3x 281

172:2x 2x 43

991:991

692:2x 2x 173

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 87800395873296/(1x4)

LCM = 87800395873296/4

LCM = 21950098968324

Thus, we can understand that the LCM of 883,843,172,991,692 is 21950098968324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 883, 843, 172, 991, 692

1. What is the LCM of 883, 843, 172, 991, 692?

Answer: LCM of 883, 843, 172, 991, 692 is 21950098968324.

2. How to calculate the LCM of 883, 843, 172, 991, 692?

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 883, 843, 172, 991, 692.

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}.