Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3166/910, 2452/645 quickly i.e. 3881516/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3166/910, 2452/645 is 3881516/5.
LCM(3166/910, 2452/645) = 3881516/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3166/910,2452/645
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 3166,2452
Least Common Multiple of Numerators i.e. LCM of 3166,2452 is 3881516.
GCF of Denominators means GCF of 910,645 as per the given fractions.
GCF of 910,645 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3166,2452
2 | 3166, 2452 |
1583, 1226 |
∴ So the LCM of the given numbers is 2 x 1583 x 1226 = 3881516
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 3166,2452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3166,2452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3166,2452) x common factors =2 x 1 = 2
LCM(3166,2452) = ( 3166 × 2452 ) / 2
LCM(3166,2452) = 7763032 / 2
LCM(3166,2452) = 3881516
Lets's calculate GCF of 910,645
5 | 910, 645 |
182, 129 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3881516/5
Therefore the LCM of Fractions 3166/910,2452/645 is 3881516/5
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 910,645 . The biggest common factor number is the GCF number.
So the greatest common factor 910,645 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 3166/910, 2452/645?
Answer: LCM of Numerators as per given numbers 3166/910, 2452/645 is
LCM of Numerators i.e. for 3166,2452 is 3881516
GCF of denominators i.e. for 910,645 is 5.
Thus, LCM of Fractions is 3881516/5.Finally, LCM of Fractions for 3166/910, 2452/645 is 3881516/5.