Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/902, 910/647, 190/120 quickly i.e. 103740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/902, 910/647, 190/120 is 103740.
LCM(60/902, 910/647, 190/120) = 103740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/902,910/647,190/120
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 60,910,190
Least Common Multiple of Numerators i.e. LCM of 60,910,190 is 103740.
GCF of Denominators means GCF of 902,647,120 as per the given fractions.
GCF of 902,647,120 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,910,190
2 | 60, 910, 190 |
5 | 30, 455, 95 |
6, 91, 19 |
∴ So the LCM of the given numbers is 2 x 5 x 6 x 91 x 19 = 103740
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 60,910,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,910,190) = 10
common factors(in case of two or more numbers have common factors) = 10
GCF(60,910,190) x common factors =10 x 10 = 100
LCM(60,910,190) = ( 60 × 910 × 190 ) / 100
LCM(60,910,190) = 10374000 / 100
LCM(60,910,190) = 103740
Lets's calculate GCF of 902,647,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103740/1
Therefore the LCM of Fractions 60/902,910/647,190/120 is 103740
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 902,647,120 . The biggest common factor number is the GCF number.
So the greatest common factor 902,647,120 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 60/902, 910/647, 190/120?
Answer: LCM of Numerators as per given numbers 60/902, 910/647, 190/120 is
LCM of Numerators i.e. for 60,910,190 is 103740
GCF of denominators i.e. for 902,647,120 is 1.
Thus, LCM of Fractions is 103740.Finally, LCM of Fractions for 60/902, 910/647, 190/120 is 103740.