Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/596, 7070/8751 quickly i.e. 275730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/596, 7070/8751 is 275730.
LCM(546/596, 7070/8751) = 275730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/596,7070/8751
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 546,7070
Least Common Multiple of Numerators i.e. LCM of 546,7070 is 275730.
GCF of Denominators means GCF of 596,8751 as per the given fractions.
GCF of 596,8751 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,7070
2 | 546, 7070 |
7 | 273, 3535 |
39, 505 |
∴ So the LCM of the given numbers is 2 x 7 x 39 x 505 = 275730
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 546,7070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,7070) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(546,7070) x common factors =14 x 1 = 14
LCM(546,7070) = ( 546 × 7070 ) / 14
LCM(546,7070) = 3860220 / 14
LCM(546,7070) = 275730
Lets's calculate GCF of 596,8751
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275730/1
Therefore the LCM of Fractions 546/596,7070/8751 is 275730
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 8751
List of positive integer factors of 8751 that divides 8751 without a remainder.
1,3,2917,8751
Greatest Common Factor
We found the factors 596,8751 . The biggest common factor number is the GCF number.
So the greatest common factor 596,8751 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 546/596, 7070/8751?
Answer: LCM of Numerators as per given numbers 546/596, 7070/8751 is
LCM of Numerators i.e. for 546,7070 is 275730
GCF of denominators i.e. for 596,8751 is 1.
Thus, LCM of Fractions is 275730.Finally, LCM of Fractions for 546/596, 7070/8751 is 275730.