Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6774/740, 3145/7100 quickly i.e. 21304230/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6774/740, 3145/7100 is 21304230/20.
LCM(6774/740, 3145/7100) = 21304230/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6774/740,3145/7100
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 6774,3145
Least Common Multiple of Numerators i.e. LCM of 6774,3145 is 21304230.
GCF of Denominators means GCF of 740,7100 as per the given fractions.
GCF of 740,7100 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6774,3145
Given numbers has no common factors except 1. So, there LCM is their product i.e 21304230
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 6774,3145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6774,3145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6774,3145) x common factors =1 x 1 = 1
LCM(6774,3145) = ( 6774 × 3145 ) / 1
LCM(6774,3145) = 21304230 / 1
LCM(6774,3145) = 21304230
Lets's calculate GCF of 740,7100
2 | 740, 7100 |
2 | 370, 3550 |
5 | 185, 1775 |
37, 355 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21304230/20
Therefore the LCM of Fractions 6774/740,3145/7100 is 21304230/20
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 7100
List of positive integer factors of 7100 that divides 7100 without a remainder.
1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100
Greatest Common Factor
We found the factors 740,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 740,7100 is 20.
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 6774/740, 3145/7100?
Answer: LCM of Numerators as per given numbers 6774/740, 3145/7100 is
LCM of Numerators i.e. for 6774,3145 is 21304230
GCF of denominators i.e. for 740,7100 is 20.
Thus, LCM of Fractions is 21304230/20.Finally, LCM of Fractions for 6774/740, 3145/7100 is 21304230/20.