Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 952/50, 750/52, 304/747 quickly i.e. 13566000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 952/50, 750/52, 304/747 is 13566000.
LCM(952/50, 750/52, 304/747) = 13566000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 952/50,750/52,304/747
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 952,750,304
Least Common Multiple of Numerators i.e. LCM of 952,750,304 is 13566000.
GCF of Denominators means GCF of 50,52,747 as per the given fractions.
GCF of 50,52,747 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 952,750,304
2 | 952, 750, 304 |
2 | 476, 375, 152 |
2 | 238, 375, 76 |
119, 375, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 375 x 38 = 13566000
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 952,750,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,750,304) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(952,750,304) x common factors =2 x 8 = 16
LCM(952,750,304) = ( 952 × 750 × 304 ) / 16
LCM(952,750,304) = 217056000 / 16
LCM(952,750,304) = 13566000
Lets's calculate GCF of 50,52,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13566000/1
Therefore the LCM of Fractions 952/50,750/52,304/747 is 13566000
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 50,52,747 . The biggest common factor number is the GCF number.
So the greatest common factor 50,52,747 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 952/50, 750/52, 304/747?
Answer: LCM of Numerators as per given numbers 952/50, 750/52, 304/747 is
LCM of Numerators i.e. for 952,750,304 is 13566000
GCF of denominators i.e. for 50,52,747 is 1.
Thus, LCM of Fractions is 13566000.Finally, LCM of Fractions for 952/50, 750/52, 304/747 is 13566000.