Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/25, 49/14, 981/632 quickly i.e. 1394001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/25, 49/14, 981/632 is 1394001.
LCM(29/25, 49/14, 981/632) = 1394001
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/25,49/14,981/632
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 29,49,981
Least Common Multiple of Numerators i.e. LCM of 29,49,981 is 1394001.
GCF of Denominators means GCF of 25,14,632 as per the given fractions.
GCF of 25,14,632 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,49,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 1394001
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 29,49,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,49,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,49,981) x common factors =1 x 1 = 1
LCM(29,49,981) = ( 29 × 49 × 981 ) / 1
LCM(29,49,981) = 1394001 / 1
LCM(29,49,981) = 1394001
Lets's calculate GCF of 25,14,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1394001/1
Therefore the LCM of Fractions 29/25,49/14,981/632 is 1394001
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 25,14,632 . The biggest common factor number is the GCF number.
So the greatest common factor 25,14,632 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 29/25, 49/14, 981/632?
Answer: LCM of Numerators as per given numbers 29/25, 49/14, 981/632 is
LCM of Numerators i.e. for 29,49,981 is 1394001
GCF of denominators i.e. for 25,14,632 is 1.
Thus, LCM of Fractions is 1394001.Finally, LCM of Fractions for 29/25, 49/14, 981/632 is 1394001.