Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 172/540, 7486/5670 quickly i.e. 643796/270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 172/540, 7486/5670 is 643796/270.
LCM(172/540, 7486/5670) = 643796/270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 172/540,7486/5670
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 172,7486
Least Common Multiple of Numerators i.e. LCM of 172,7486 is 643796.
GCF of Denominators means GCF of 540,5670 as per the given fractions.
GCF of 540,5670 is 270 as it is the largest common factor for these numbers.
Lets's calculate LCM of 172,7486
2 | 172, 7486 |
86, 3743 |
∴ So the LCM of the given numbers is 2 x 86 x 3743 = 643796
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 172,7486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,7486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,7486) x common factors =2 x 1 = 2
LCM(172,7486) = ( 172 × 7486 ) / 2
LCM(172,7486) = 1287592 / 2
LCM(172,7486) = 643796
Lets's calculate GCF of 540,5670
2 | 540, 5670 |
3 | 270, 2835 |
3 | 90, 945 |
3 | 30, 315 |
5 | 10, 105 |
2, 21 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 5 = 270
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643796/270
Therefore the LCM of Fractions 172/540,7486/5670 is 643796/270
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 5670
List of positive integer factors of 5670 that divides 5670 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Greatest Common Factor
We found the factors 540,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 540,5670 is 270.
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 172/540, 7486/5670?
Answer: LCM of Numerators as per given numbers 172/540, 7486/5670 is
LCM of Numerators i.e. for 172,7486 is 643796
GCF of denominators i.e. for 540,5670 is 270.
Thus, LCM of Fractions is 643796/270.Finally, LCM of Fractions for 172/540, 7486/5670 is 643796/270.