Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 152/14, 4346/110 quickly i.e. 165148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 152/14, 4346/110 is 165148.
LCM(152/14, 4346/110) = 165148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 152/14,4346/110
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 152,4346
Least Common Multiple of Numerators i.e. LCM of 152,4346 is 330296.
GCF of Denominators means GCF of 14,110 as per the given fractions.
GCF of 14,110 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 152,4346
2 | 152, 4346 |
76, 2173 |
∴ So the LCM of the given numbers is 2 x 76 x 2173 = 330296
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 152,4346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,4346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,4346) x common factors =2 x 1 = 2
LCM(152,4346) = ( 152 × 4346 ) / 2
LCM(152,4346) = 660592 / 2
LCM(152,4346) = 330296
Lets's calculate GCF of 14,110
2 | 14, 110 |
7, 55 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330296/2
Therefore the LCM of Fractions 152/14,4346/110 is 165148
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 14,110 . The biggest common factor number is the GCF number.
So the greatest common factor 14,110 is 2.
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 152/14, 4346/110?
Answer: LCM of Numerators as per given numbers 152/14, 4346/110 is
LCM of Numerators i.e. for 152,4346 is 330296
GCF of denominators i.e. for 14,110 is 2.
Thus, LCM of Fractions is 165148.Finally, LCM of Fractions for 152/14, 4346/110 is 165148.