Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/747, 125/587, 110/547 quickly i.e. 2741750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/747, 125/587, 110/547 is 2741750.
LCM(997/747, 125/587, 110/547) = 2741750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/747,125/587,110/547
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 997,125,110
Least Common Multiple of Numerators i.e. LCM of 997,125,110 is 2741750.
GCF of Denominators means GCF of 747,587,547 as per the given fractions.
GCF of 747,587,547 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,125,110
5 | 997, 125, 110 |
997, 25, 22 |
∴ So the LCM of the given numbers is 5 x 997 x 25 x 22 = 2741750
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 997,125,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,125,110) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(997,125,110) x common factors =1 x 5 = 5
LCM(997,125,110) = ( 997 × 125 × 110 ) / 5
LCM(997,125,110) = 13708750 / 5
LCM(997,125,110) = 2741750
Lets's calculate GCF of 747,587,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2741750/1
Therefore the LCM of Fractions 997/747,125/587,110/547 is 2741750
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 747,587,547 . The biggest common factor number is the GCF number.
So the greatest common factor 747,587,547 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 997/747, 125/587, 110/547?
Answer: LCM of Numerators as per given numbers 997/747, 125/587, 110/547 is
LCM of Numerators i.e. for 997,125,110 is 2741750
GCF of denominators i.e. for 747,587,547 is 1.
Thus, LCM of Fractions is 2741750.Finally, LCM of Fractions for 997/747, 125/587, 110/547 is 2741750.