Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 597/97, 236/91, 862/450 quickly i.e. 60724452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 597/97, 236/91, 862/450 is 60724452.
LCM(597/97, 236/91, 862/450) = 60724452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 597/97,236/91,862/450
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 597,236,862
Least Common Multiple of Numerators i.e. LCM of 597,236,862 is 60724452.
GCF of Denominators means GCF of 97,91,450 as per the given fractions.
GCF of 97,91,450 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 597,236,862
2 | 597, 236, 862 |
597, 118, 431 |
∴ So the LCM of the given numbers is 2 x 597 x 118 x 431 = 60724452
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 597,236,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,236,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(597,236,862) x common factors =1 x 2 = 2
LCM(597,236,862) = ( 597 × 236 × 862 ) / 2
LCM(597,236,862) = 121448904 / 2
LCM(597,236,862) = 60724452
Lets's calculate GCF of 97,91,450
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60724452/1
Therefore the LCM of Fractions 597/97,236/91,862/450 is 60724452
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 97,91,450 . The biggest common factor number is the GCF number.
So the greatest common factor 97,91,450 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 597/97, 236/91, 862/450?
Answer: LCM of Numerators as per given numbers 597/97, 236/91, 862/450 is
LCM of Numerators i.e. for 597,236,862 is 60724452
GCF of denominators i.e. for 97,91,450 is 1.
Thus, LCM of Fractions is 60724452.Finally, LCM of Fractions for 597/97, 236/91, 862/450 is 60724452.