Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3552/292, 5895/8375 quickly i.e. 6979680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3552/292, 5895/8375 is 6979680.
LCM(3552/292, 5895/8375) = 6979680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3552/292,5895/8375
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 3552,5895
Least Common Multiple of Numerators i.e. LCM of 3552,5895 is 6979680.
GCF of Denominators means GCF of 292,8375 as per the given fractions.
GCF of 292,8375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3552,5895
3 | 3552, 5895 |
1184, 1965 |
∴ So the LCM of the given numbers is 3 x 1184 x 1965 = 6979680
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 3552,5895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3552,5895) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3552,5895) x common factors =3 x 1 = 3
LCM(3552,5895) = ( 3552 × 5895 ) / 3
LCM(3552,5895) = 20939040 / 3
LCM(3552,5895) = 6979680
Lets's calculate GCF of 292,8375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6979680/1
Therefore the LCM of Fractions 3552/292,5895/8375 is 6979680
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 8375
List of positive integer factors of 8375 that divides 8375 without a remainder.
1,5,25,67,125,335,1675,8375
Greatest Common Factor
We found the factors 292,8375 . The biggest common factor number is the GCF number.
So the greatest common factor 292,8375 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 3552/292, 5895/8375?
Answer: LCM of Numerators as per given numbers 3552/292, 5895/8375 is
LCM of Numerators i.e. for 3552,5895 is 6979680
GCF of denominators i.e. for 292,8375 is 1.
Thus, LCM of Fractions is 6979680.Finally, LCM of Fractions for 3552/292, 5895/8375 is 6979680.