Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 761/202, 1836/2734 quickly i.e. 698598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 761/202, 1836/2734 is 698598.
LCM(761/202, 1836/2734) = 698598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 761/202,1836/2734
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 761,1836
Least Common Multiple of Numerators i.e. LCM of 761,1836 is 1397196.
GCF of Denominators means GCF of 202,2734 as per the given fractions.
GCF of 202,2734 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 761,1836
Given numbers has no common factors except 1. So, there LCM is their product i.e 1397196
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 761,1836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,1836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,1836) x common factors =1 x 1 = 1
LCM(761,1836) = ( 761 × 1836 ) / 1
LCM(761,1836) = 1397196 / 1
LCM(761,1836) = 1397196
Lets's calculate GCF of 202,2734
2 | 202, 2734 |
101, 1367 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1397196/2
Therefore the LCM of Fractions 761/202,1836/2734 is 698598
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 2734
List of positive integer factors of 2734 that divides 2734 without a remainder.
1,2,1367,2734
Greatest Common Factor
We found the factors 202,2734 . The biggest common factor number is the GCF number.
So the greatest common factor 202,2734 is 2.
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 761/202, 1836/2734?
Answer: LCM of Numerators as per given numbers 761/202, 1836/2734 is
LCM of Numerators i.e. for 761,1836 is 1397196
GCF of denominators i.e. for 202,2734 is 2.
Thus, LCM of Fractions is 698598.Finally, LCM of Fractions for 761/202, 1836/2734 is 698598.