Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/172, 7335/2842 quickly i.e. 322740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/172, 7335/2842 is 322740.
LCM(88/172, 7335/2842) = 322740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/172,7335/2842
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 88,7335
Least Common Multiple of Numerators i.e. LCM of 88,7335 is 645480.
GCF of Denominators means GCF of 172,2842 as per the given fractions.
GCF of 172,2842 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,7335
Given numbers has no common factors except 1. So, there LCM is their product i.e 645480
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 88,7335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,7335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,7335) x common factors =1 x 1 = 1
LCM(88,7335) = ( 88 × 7335 ) / 1
LCM(88,7335) = 645480 / 1
LCM(88,7335) = 645480
Lets's calculate GCF of 172,2842
2 | 172, 2842 |
86, 1421 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 645480/2
Therefore the LCM of Fractions 88/172,7335/2842 is 322740
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 2842
List of positive integer factors of 2842 that divides 2842 without a remainder.
1,2,7,14,29,49,58,98,203,406,1421,2842
Greatest Common Factor
We found the factors 172,2842 . The biggest common factor number is the GCF number.
So the greatest common factor 172,2842 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 88/172, 7335/2842?
Answer: LCM of Numerators as per given numbers 88/172, 7335/2842 is
LCM of Numerators i.e. for 88,7335 is 645480
GCF of denominators i.e. for 172,2842 is 2.
Thus, LCM of Fractions is 322740.Finally, LCM of Fractions for 88/172, 7335/2842 is 322740.