Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/168, 5822/2757 quickly i.e. 64042/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/168, 5822/2757 is 64042/3.
LCM(22/168, 5822/2757) = 64042/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/168,5822/2757
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 22,5822
Least Common Multiple of Numerators i.e. LCM of 22,5822 is 64042.
GCF of Denominators means GCF of 168,2757 as per the given fractions.
GCF of 168,2757 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,5822
2 | 22, 5822 |
11, 2911 |
∴ So the LCM of the given numbers is 2 x 11 x 2911 = 64042
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 22,5822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,5822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,5822) x common factors =2 x 1 = 2
LCM(22,5822) = ( 22 × 5822 ) / 2
LCM(22,5822) = 128084 / 2
LCM(22,5822) = 64042
Lets's calculate GCF of 168,2757
3 | 168, 2757 |
56, 919 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64042/3
Therefore the LCM of Fractions 22/168,5822/2757 is 64042/3
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 2757
List of positive integer factors of 2757 that divides 2757 without a remainder.
1,3,919,2757
Greatest Common Factor
We found the factors 168,2757 . The biggest common factor number is the GCF number.
So the greatest common factor 168,2757 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 22/168, 5822/2757?
Answer: LCM of Numerators as per given numbers 22/168, 5822/2757 is
LCM of Numerators i.e. for 22,5822 is 64042
GCF of denominators i.e. for 168,2757 is 3.
Thus, LCM of Fractions is 64042/3.Finally, LCM of Fractions for 22/168, 5822/2757 is 64042/3.