Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 208/52, 174/8892 quickly i.e. 348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 208/52, 174/8892 is 348.
LCM(208/52, 174/8892) = 348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 208/52,174/8892
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 208,174
Least Common Multiple of Numerators i.e. LCM of 208,174 is 18096.
GCF of Denominators means GCF of 52,8892 as per the given fractions.
GCF of 52,8892 is 52 as it is the largest common factor for these numbers.
Lets's calculate LCM of 208,174
2 | 208, 174 |
104, 87 |
∴ So the LCM of the given numbers is 2 x 104 x 87 = 18096
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 208,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(208,174) x common factors =2 x 1 = 2
LCM(208,174) = ( 208 × 174 ) / 2
LCM(208,174) = 36192 / 2
LCM(208,174) = 18096
Lets's calculate GCF of 52,8892
2 | 52, 8892 |
2 | 26, 4446 |
13 | 13, 2223 |
1, 171 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18096/52
Therefore the LCM of Fractions 208/52,174/8892 is 348
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 8892
List of positive integer factors of 8892 that divides 8892 without a remainder.
1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892
Greatest Common Factor
We found the factors 52,8892 . The biggest common factor number is the GCF number.
So the greatest common factor 52,8892 is 52.
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 208/52, 174/8892?
Answer: LCM of Numerators as per given numbers 208/52, 174/8892 is
LCM of Numerators i.e. for 208,174 is 18096
GCF of denominators i.e. for 52,8892 is 52.
Thus, LCM of Fractions is 348.Finally, LCM of Fractions for 208/52, 174/8892 is 348.