Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 158/83, 222/3772 quickly i.e. 17538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 158/83, 222/3772 is 17538.
LCM(158/83, 222/3772) = 17538
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 158/83,222/3772
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 158,222
Least Common Multiple of Numerators i.e. LCM of 158,222 is 17538.
GCF of Denominators means GCF of 83,3772 as per the given fractions.
GCF of 83,3772 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 158,222
2 | 158, 222 |
79, 111 |
∴ So the LCM of the given numbers is 2 x 79 x 111 = 17538
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 158,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,222) x common factors =2 x 1 = 2
LCM(158,222) = ( 158 × 222 ) / 2
LCM(158,222) = 35076 / 2
LCM(158,222) = 17538
Lets's calculate GCF of 83,3772
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17538/1
Therefore the LCM of Fractions 158/83,222/3772 is 17538
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 3772
List of positive integer factors of 3772 that divides 3772 without a remainder.
1,2,4,23,41,46,82,92,164,943,1886,3772
Greatest Common Factor
We found the factors 83,3772 . The biggest common factor number is the GCF number.
So the greatest common factor 83,3772 is 1.
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 158/83, 222/3772?
Answer: LCM of Numerators as per given numbers 158/83, 222/3772 is
LCM of Numerators i.e. for 158,222 is 17538
GCF of denominators i.e. for 83,3772 is 1.
Thus, LCM of Fractions is 17538.Finally, LCM of Fractions for 158/83, 222/3772 is 17538.