Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 709/254, 1735/8021 quickly i.e. 1230115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 709/254, 1735/8021 is 1230115.
LCM(709/254, 1735/8021) = 1230115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 709/254,1735/8021
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 709,1735
Least Common Multiple of Numerators i.e. LCM of 709,1735 is 1230115.
GCF of Denominators means GCF of 254,8021 as per the given fractions.
GCF of 254,8021 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 709,1735
Given numbers has no common factors except 1. So, there LCM is their product i.e 1230115
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 709,1735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,1735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,1735) x common factors =1 x 1 = 1
LCM(709,1735) = ( 709 × 1735 ) / 1
LCM(709,1735) = 1230115 / 1
LCM(709,1735) = 1230115
Lets's calculate GCF of 254,8021
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230115/1
Therefore the LCM of Fractions 709/254,1735/8021 is 1230115
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 8021
List of positive integer factors of 8021 that divides 8021 without a remainder.
1,13,617,8021
Greatest Common Factor
We found the factors 254,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 254,8021 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 709/254, 1735/8021?
Answer: LCM of Numerators as per given numbers 709/254, 1735/8021 is
LCM of Numerators i.e. for 709,1735 is 1230115
GCF of denominators i.e. for 254,8021 is 1.
Thus, LCM of Fractions is 1230115.Finally, LCM of Fractions for 709/254, 1735/8021 is 1230115.