Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 985/95, 740/1720 quickly i.e. 29156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 985/95, 740/1720 is 29156.
LCM(985/95, 740/1720) = 29156
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 985/95,740/1720
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 985,740
Least Common Multiple of Numerators i.e. LCM of 985,740 is 145780.
GCF of Denominators means GCF of 95,1720 as per the given fractions.
GCF of 95,1720 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 985,740
5 | 985, 740 |
197, 148 |
∴ So the LCM of the given numbers is 5 x 197 x 148 = 145780
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 985,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,740) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(985,740) x common factors =5 x 1 = 5
LCM(985,740) = ( 985 × 740 ) / 5
LCM(985,740) = 728900 / 5
LCM(985,740) = 145780
Lets's calculate GCF of 95,1720
5 | 95, 1720 |
19, 344 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145780/5
Therefore the LCM of Fractions 985/95,740/1720 is 29156
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 1720
List of positive integer factors of 1720 that divides 1720 without a remainder.
1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720
Greatest Common Factor
We found the factors 95,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 95,1720 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 985/95, 740/1720?
Answer: LCM of Numerators as per given numbers 985/95, 740/1720 is
LCM of Numerators i.e. for 985,740 is 145780
GCF of denominators i.e. for 95,1720 is 5.
Thus, LCM of Fractions is 29156.Finally, LCM of Fractions for 985/95, 740/1720 is 29156.