Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/735, 88/136, 369/654 quickly i.e. 811800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/735, 88/136, 369/654 is 811800.
LCM(25/735, 88/136, 369/654) = 811800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/735,88/136,369/654
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 25,88,369
Least Common Multiple of Numerators i.e. LCM of 25,88,369 is 811800.
GCF of Denominators means GCF of 735,136,654 as per the given fractions.
GCF of 735,136,654 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,88,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 811800
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 25,88,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,88,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,88,369) x common factors =1 x 1 = 1
LCM(25,88,369) = ( 25 × 88 × 369 ) / 1
LCM(25,88,369) = 811800 / 1
LCM(25,88,369) = 811800
Lets's calculate GCF of 735,136,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811800/1
Therefore the LCM of Fractions 25/735,88/136,369/654 is 811800
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 735,136,654 . The biggest common factor number is the GCF number.
So the greatest common factor 735,136,654 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 25/735, 88/136, 369/654?
Answer: LCM of Numerators as per given numbers 25/735, 88/136, 369/654 is
LCM of Numerators i.e. for 25,88,369 is 811800
GCF of denominators i.e. for 735,136,654 is 1.
Thus, LCM of Fractions is 811800.Finally, LCM of Fractions for 25/735, 88/136, 369/654 is 811800.