Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/48, 923/84, 970/259 quickly i.e. 895310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/48, 923/84, 970/259 is 895310.
LCM(97/48, 923/84, 970/259) = 895310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/48,923/84,970/259
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 97,923,970
Least Common Multiple of Numerators i.e. LCM of 97,923,970 is 895310.
GCF of Denominators means GCF of 48,84,259 as per the given fractions.
GCF of 48,84,259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,923,970
97 | 97, 923, 970 |
1, 923, 10 |
∴ So the LCM of the given numbers is 97 x 1 x 923 x 10 = 895310
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 97,923,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,923,970) = 1
common factors(in case of two or more numbers have common factors) = 97
GCF(97,923,970) x common factors =1 x 97 = 97
LCM(97,923,970) = ( 97 × 923 × 970 ) / 97
LCM(97,923,970) = 86845070 / 97
LCM(97,923,970) = 895310
Lets's calculate GCF of 48,84,259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 895310/1
Therefore the LCM of Fractions 97/48,923/84,970/259 is 895310
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Greatest Common Factor
We found the factors 48,84,259 . The biggest common factor number is the GCF number.
So the greatest common factor 48,84,259 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 97/48, 923/84, 970/259?
Answer: LCM of Numerators as per given numbers 97/48, 923/84, 970/259 is
LCM of Numerators i.e. for 97,923,970 is 895310
GCF of denominators i.e. for 48,84,259 is 1.
Thus, LCM of Fractions is 895310.Finally, LCM of Fractions for 97/48, 923/84, 970/259 is 895310.