Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/22, 138/54, 451/680 quickly i.e. 2645115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/22, 138/54, 451/680 is 2645115.
LCM(85/22, 138/54, 451/680) = 2645115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/22,138/54,451/680
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 85,138,451
Least Common Multiple of Numerators i.e. LCM of 85,138,451 is 5290230.
GCF of Denominators means GCF of 22,54,680 as per the given fractions.
GCF of 22,54,680 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,138,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 5290230
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 85,138,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,138,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,138,451) x common factors =1 x 1 = 1
LCM(85,138,451) = ( 85 × 138 × 451 ) / 1
LCM(85,138,451) = 5290230 / 1
LCM(85,138,451) = 5290230
Lets's calculate GCF of 22,54,680
2 | 22, 54, 680 |
11, 27, 340 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5290230/2
Therefore the LCM of Fractions 85/22,138/54,451/680 is 2645115
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 22,54,680 . The biggest common factor number is the GCF number.
So the greatest common factor 22,54,680 is 2.
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 85/22, 138/54, 451/680?
Answer: LCM of Numerators as per given numbers 85/22, 138/54, 451/680 is
LCM of Numerators i.e. for 85,138,451 is 5290230
GCF of denominators i.e. for 22,54,680 is 2.
Thus, LCM of Fractions is 2645115.Finally, LCM of Fractions for 85/22, 138/54, 451/680 is 2645115.