Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/724, 70/127 quickly i.e. 2030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/724, 70/127 is 2030.
LCM(29/724, 70/127) = 2030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/724,70/127
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 29,70
Least Common Multiple of Numerators i.e. LCM of 29,70 is 2030.
GCF of Denominators means GCF of 724,127 as per the given fractions.
GCF of 724,127 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,70
Given numbers has no common factors except 1. So, there LCM is their product i.e 2030
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 29,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,70) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,70) x common factors =1 x 1 = 1
LCM(29,70) = ( 29 × 70 ) / 1
LCM(29,70) = 2030 / 1
LCM(29,70) = 2030
Lets's calculate GCF of 724,127
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2030/1
Therefore the LCM of Fractions 29/724,70/127 is 2030
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors 724,127 . The biggest common factor number is the GCF number.
So the greatest common factor 724,127 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 29/724, 70/127?
Answer: LCM of Numerators as per given numbers 29/724, 70/127 is
LCM of Numerators i.e. for 29,70 is 2030
GCF of denominators i.e. for 724,127 is 1.
Thus, LCM of Fractions is 2030.Finally, LCM of Fractions for 29/724, 70/127 is 2030.