Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1354/822, 1527/6901 quickly i.e. 2067558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1354/822, 1527/6901 is 2067558.
LCM(1354/822, 1527/6901) = 2067558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1354/822,1527/6901
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 1354,1527
Least Common Multiple of Numerators i.e. LCM of 1354,1527 is 2067558.
GCF of Denominators means GCF of 822,6901 as per the given fractions.
GCF of 822,6901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1354,1527
Given numbers has no common factors except 1. So, there LCM is their product i.e 2067558
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 1354,1527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1354,1527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1354,1527) x common factors =1 x 1 = 1
LCM(1354,1527) = ( 1354 × 1527 ) / 1
LCM(1354,1527) = 2067558 / 1
LCM(1354,1527) = 2067558
Lets's calculate GCF of 822,6901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2067558/1
Therefore the LCM of Fractions 1354/822,1527/6901 is 2067558
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 6901
List of positive integer factors of 6901 that divides 6901 without a remainder.
1,67,103,6901
Greatest Common Factor
We found the factors 822,6901 . The biggest common factor number is the GCF number.
So the greatest common factor 822,6901 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 1354/822, 1527/6901?
Answer: LCM of Numerators as per given numbers 1354/822, 1527/6901 is
LCM of Numerators i.e. for 1354,1527 is 2067558
GCF of denominators i.e. for 822,6901 is 1.
Thus, LCM of Fractions is 2067558.Finally, LCM of Fractions for 1354/822, 1527/6901 is 2067558.