Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4552/965, 4192/6070 quickly i.e. 2385248/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4552/965, 4192/6070 is 2385248/5.
LCM(4552/965, 4192/6070) = 2385248/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4552/965,4192/6070
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 4552,4192
Least Common Multiple of Numerators i.e. LCM of 4552,4192 is 2385248.
GCF of Denominators means GCF of 965,6070 as per the given fractions.
GCF of 965,6070 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4552,4192
2 | 4552, 4192 |
2 | 2276, 2096 |
2 | 1138, 1048 |
569, 524 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 569 x 524 = 2385248
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 4552,4192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4552,4192) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(4552,4192) x common factors =8 x 1 = 8
LCM(4552,4192) = ( 4552 × 4192 ) / 8
LCM(4552,4192) = 19081984 / 8
LCM(4552,4192) = 2385248
Lets's calculate GCF of 965,6070
5 | 965, 6070 |
193, 1214 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2385248/5
Therefore the LCM of Fractions 4552/965,4192/6070 is 2385248/5
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 6070
List of positive integer factors of 6070 that divides 6070 without a remainder.
1,2,5,10,607,1214,3035,6070
Greatest Common Factor
We found the factors 965,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 965,6070 is 5.
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 4552/965, 4192/6070?
Answer: LCM of Numerators as per given numbers 4552/965, 4192/6070 is
LCM of Numerators i.e. for 4552,4192 is 2385248
GCF of denominators i.e. for 965,6070 is 5.
Thus, LCM of Fractions is 2385248/5.Finally, LCM of Fractions for 4552/965, 4192/6070 is 2385248/5.