Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/489, 75/981, 276/921 quickly i.e. 223100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/489, 75/981, 276/921 is 223100.
LCM(97/489, 75/981, 276/921) = 223100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/489,75/981,276/921
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 97,75,276
Least Common Multiple of Numerators i.e. LCM of 97,75,276 is 669300.
GCF of Denominators means GCF of 489,981,921 as per the given fractions.
GCF of 489,981,921 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,75,276
3 | 97, 75, 276 |
97, 25, 92 |
∴ So the LCM of the given numbers is 3 x 97 x 25 x 92 = 669300
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 97,75,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,75,276) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,75,276) x common factors =1 x 3 = 3
LCM(97,75,276) = ( 97 × 75 × 276 ) / 3
LCM(97,75,276) = 2007900 / 3
LCM(97,75,276) = 669300
Lets's calculate GCF of 489,981,921
3 | 489, 981, 921 |
163, 327, 307 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669300/3
Therefore the LCM of Fractions 97/489,75/981,276/921 is 223100
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Greatest Common Factor
We found the factors 489,981,921 . The biggest common factor number is the GCF number.
So the greatest common factor 489,981,921 is 3.
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 97/489, 75/981, 276/921?
Answer: LCM of Numerators as per given numbers 97/489, 75/981, 276/921 is
LCM of Numerators i.e. for 97,75,276 is 669300
GCF of denominators i.e. for 489,981,921 is 3.
Thus, LCM of Fractions is 223100.Finally, LCM of Fractions for 97/489, 75/981, 276/921 is 223100.