Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 227/542, 1550/6726 quickly i.e. 175925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 227/542, 1550/6726 is 175925.
LCM(227/542, 1550/6726) = 175925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 227/542,1550/6726
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 227,1550
Least Common Multiple of Numerators i.e. LCM of 227,1550 is 351850.
GCF of Denominators means GCF of 542,6726 as per the given fractions.
GCF of 542,6726 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 227,1550
Given numbers has no common factors except 1. So, there LCM is their product i.e 351850
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 227,1550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,1550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,1550) x common factors =1 x 1 = 1
LCM(227,1550) = ( 227 × 1550 ) / 1
LCM(227,1550) = 351850 / 1
LCM(227,1550) = 351850
Lets's calculate GCF of 542,6726
2 | 542, 6726 |
271, 3363 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351850/2
Therefore the LCM of Fractions 227/542,1550/6726 is 175925
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 6726
List of positive integer factors of 6726 that divides 6726 without a remainder.
1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726
Greatest Common Factor
We found the factors 542,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 542,6726 is 2.
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 227/542, 1550/6726?
Answer: LCM of Numerators as per given numbers 227/542, 1550/6726 is
LCM of Numerators i.e. for 227,1550 is 351850
GCF of denominators i.e. for 542,6726 is 2.
Thus, LCM of Fractions is 175925.Finally, LCM of Fractions for 227/542, 1550/6726 is 175925.