Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 955/95, 309/21, 124/892 quickly i.e. 36591780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 955/95, 309/21, 124/892 is 36591780.
LCM(955/95, 309/21, 124/892) = 36591780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 955/95,309/21,124/892
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 955,309,124
Least Common Multiple of Numerators i.e. LCM of 955,309,124 is 36591780.
GCF of Denominators means GCF of 95,21,892 as per the given fractions.
GCF of 95,21,892 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 955,309,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 36591780
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 955,309,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,309,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,309,124) x common factors =1 x 1 = 1
LCM(955,309,124) = ( 955 × 309 × 124 ) / 1
LCM(955,309,124) = 36591780 / 1
LCM(955,309,124) = 36591780
Lets's calculate GCF of 95,21,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36591780/1
Therefore the LCM of Fractions 955/95,309/21,124/892 is 36591780
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 95,21,892 . The biggest common factor number is the GCF number.
So the greatest common factor 95,21,892 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 955/95, 309/21, 124/892?
Answer: LCM of Numerators as per given numbers 955/95, 309/21, 124/892 is
LCM of Numerators i.e. for 955,309,124 is 36591780
GCF of denominators i.e. for 95,21,892 is 1.
Thus, LCM of Fractions is 36591780.Finally, LCM of Fractions for 955/95, 309/21, 124/892 is 36591780.