Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6452/120, 6485/1945 quickly i.e. 8368244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6452/120, 6485/1945 is 8368244.
LCM(6452/120, 6485/1945) = 8368244
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6452/120,6485/1945
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 6452,6485
Least Common Multiple of Numerators i.e. LCM of 6452,6485 is 41841220.
GCF of Denominators means GCF of 120,1945 as per the given fractions.
GCF of 120,1945 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6452,6485
Given numbers has no common factors except 1. So, there LCM is their product i.e 41841220
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 6452,6485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6452,6485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6452,6485) x common factors =1 x 1 = 1
LCM(6452,6485) = ( 6452 × 6485 ) / 1
LCM(6452,6485) = 41841220 / 1
LCM(6452,6485) = 41841220
Lets's calculate GCF of 120,1945
5 | 120, 1945 |
24, 389 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41841220/5
Therefore the LCM of Fractions 6452/120,6485/1945 is 8368244
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 1945
List of positive integer factors of 1945 that divides 1945 without a remainder.
1,5,389,1945
Greatest Common Factor
We found the factors 120,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 120,1945 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 6452/120, 6485/1945?
Answer: LCM of Numerators as per given numbers 6452/120, 6485/1945 is
LCM of Numerators i.e. for 6452,6485 is 41841220
GCF of denominators i.e. for 120,1945 is 5.
Thus, LCM of Fractions is 8368244.Finally, LCM of Fractions for 6452/120, 6485/1945 is 8368244.