Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/10, 460/77, 893/940 quickly i.e. 3697020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/10, 460/77, 893/940 is 3697020.
LCM(18/10, 460/77, 893/940) = 3697020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/10,460/77,893/940
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 18,460,893
Least Common Multiple of Numerators i.e. LCM of 18,460,893 is 3697020.
GCF of Denominators means GCF of 10,77,940 as per the given fractions.
GCF of 10,77,940 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,460,893
2 | 18, 460, 893 |
9, 230, 893 |
∴ So the LCM of the given numbers is 2 x 9 x 230 x 893 = 3697020
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 18,460,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,460,893) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,460,893) x common factors =1 x 2 = 2
LCM(18,460,893) = ( 18 × 460 × 893 ) / 2
LCM(18,460,893) = 7394040 / 2
LCM(18,460,893) = 3697020
Lets's calculate GCF of 10,77,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3697020/1
Therefore the LCM of Fractions 18/10,460/77,893/940 is 3697020
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 10,77,940 . The biggest common factor number is the GCF number.
So the greatest common factor 10,77,940 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 18/10, 460/77, 893/940?
Answer: LCM of Numerators as per given numbers 18/10, 460/77, 893/940 is
LCM of Numerators i.e. for 18,460,893 is 3697020
GCF of denominators i.e. for 10,77,940 is 1.
Thus, LCM of Fractions is 3697020.Finally, LCM of Fractions for 18/10, 460/77, 893/940 is 3697020.