Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 540/370, 7949/812 quickly i.e. 2146230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 540/370, 7949/812 is 2146230.
LCM(540/370, 7949/812) = 2146230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 540/370,7949/812
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 540,7949
Least Common Multiple of Numerators i.e. LCM of 540,7949 is 4292460.
GCF of Denominators means GCF of 370,812 as per the given fractions.
GCF of 370,812 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 540,7949
Given numbers has no common factors except 1. So, there LCM is their product i.e 4292460
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 540,7949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,7949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(540,7949) x common factors =1 x 1 = 1
LCM(540,7949) = ( 540 × 7949 ) / 1
LCM(540,7949) = 4292460 / 1
LCM(540,7949) = 4292460
Lets's calculate GCF of 370,812
2 | 370, 812 |
185, 406 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4292460/2
Therefore the LCM of Fractions 540/370,7949/812 is 2146230
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 370,812 . The biggest common factor number is the GCF number.
So the greatest common factor 370,812 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 540/370, 7949/812?
Answer: LCM of Numerators as per given numbers 540/370, 7949/812 is
LCM of Numerators i.e. for 540,7949 is 4292460
GCF of denominators i.e. for 370,812 is 2.
Thus, LCM of Fractions is 2146230.Finally, LCM of Fractions for 540/370, 7949/812 is 2146230.