Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/545, 2120/1538 quickly i.e. 1952520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/545, 2120/1538 is 1952520.
LCM(921/545, 2120/1538) = 1952520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/545,2120/1538
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 921,2120
Least Common Multiple of Numerators i.e. LCM of 921,2120 is 1952520.
GCF of Denominators means GCF of 545,1538 as per the given fractions.
GCF of 545,1538 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,2120
Given numbers has no common factors except 1. So, there LCM is their product i.e 1952520
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 921,2120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,2120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,2120) x common factors =1 x 1 = 1
LCM(921,2120) = ( 921 × 2120 ) / 1
LCM(921,2120) = 1952520 / 1
LCM(921,2120) = 1952520
Lets's calculate GCF of 545,1538
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1952520/1
Therefore the LCM of Fractions 921/545,2120/1538 is 1952520
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 1538
List of positive integer factors of 1538 that divides 1538 without a remainder.
1,2,769,1538
Greatest Common Factor
We found the factors 545,1538 . The biggest common factor number is the GCF number.
So the greatest common factor 545,1538 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 921/545, 2120/1538?
Answer: LCM of Numerators as per given numbers 921/545, 2120/1538 is
LCM of Numerators i.e. for 921,2120 is 1952520
GCF of denominators i.e. for 545,1538 is 1.
Thus, LCM of Fractions is 1952520.Finally, LCM of Fractions for 921/545, 2120/1538 is 1952520.