Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/95, 70/10, 76/60, 50/60 quickly i.e. 2660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/95, 70/10, 76/60, 50/60 is 2660.
LCM(7/95, 70/10, 76/60, 50/60) = 2660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/95,70/10,76/60,50/60
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 7,70,76,50
Least Common Multiple of Numerators i.e. LCM of 7,70,76,50 is 13300.
GCF of Denominators means GCF of 95,10,60,60 as per the given fractions.
GCF of 95,10,60,60 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,70,76,50
2 | 7, 70, 76, 50 |
5 | 7, 35, 38, 25 |
7 | 7, 7, 38, 5 |
1, 1, 38, 5 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 38 x 5 = 13300
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 7,70,76,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,70,76,50) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(7,70,76,50) x common factors =1 x 140 = 140
LCM(7,70,76,50) = ( 7 × 70 × 76 × 50 ) / 140
LCM(7,70,76,50) = 1862000 / 140
LCM(7,70,76,50) = 13300
Lets's calculate GCF of 95,10,60,60
5 | 95, 10, 60, 60 |
19, 2, 12, 12 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13300/5
Therefore the LCM of Fractions 7/95,70/10,76/60,50/60 is 2660
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 95,10,60,60 . The biggest common factor number is the GCF number.
So the greatest common factor 95,10,60,60 is 5.
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 7/95, 70/10, 76/60, 50/60?
Answer: LCM of Numerators as per given numbers 7/95, 70/10, 76/60, 50/60 is
LCM of Numerators i.e. for 7,70,76,50 is 13300
GCF of denominators i.e. for 95,10,60,60 is 5.
Thus, LCM of Fractions is 2660.Finally, LCM of Fractions for 7/95, 70/10, 76/60, 50/60 is 2660.