Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/942, 7585/7408 quickly i.e. 333740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/942, 7585/7408 is 333740.
LCM(88/942, 7585/7408) = 333740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/942,7585/7408
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 88,7585
Least Common Multiple of Numerators i.e. LCM of 88,7585 is 667480.
GCF of Denominators means GCF of 942,7408 as per the given fractions.
GCF of 942,7408 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,7585
Given numbers has no common factors except 1. So, there LCM is their product i.e 667480
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 88,7585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,7585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,7585) x common factors =1 x 1 = 1
LCM(88,7585) = ( 88 × 7585 ) / 1
LCM(88,7585) = 667480 / 1
LCM(88,7585) = 667480
Lets's calculate GCF of 942,7408
2 | 942, 7408 |
471, 3704 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 667480/2
Therefore the LCM of Fractions 88/942,7585/7408 is 333740
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 7408
List of positive integer factors of 7408 that divides 7408 without a remainder.
1,2,4,8,16,463,926,1852,3704,7408
Greatest Common Factor
We found the factors 942,7408 . The biggest common factor number is the GCF number.
So the greatest common factor 942,7408 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 88/942, 7585/7408?
Answer: LCM of Numerators as per given numbers 88/942, 7585/7408 is
LCM of Numerators i.e. for 88,7585 is 667480
GCF of denominators i.e. for 942,7408 is 2.
Thus, LCM of Fractions is 333740.Finally, LCM of Fractions for 88/942, 7585/7408 is 333740.