Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5207/276, 7477/368 quickly i.e. 38932739/92 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5207/276, 7477/368 is 38932739/92.
LCM(5207/276, 7477/368) = 38932739/92
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5207/276,7477/368
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 5207,7477
Least Common Multiple of Numerators i.e. LCM of 5207,7477 is 38932739.
GCF of Denominators means GCF of 276,368 as per the given fractions.
GCF of 276,368 is 92 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5207,7477
Given numbers has no common factors except 1. So, there LCM is their product i.e 38932739
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 5207,7477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5207,7477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5207,7477) x common factors =1 x 1 = 1
LCM(5207,7477) = ( 5207 × 7477 ) / 1
LCM(5207,7477) = 38932739 / 1
LCM(5207,7477) = 38932739
Lets's calculate GCF of 276,368
2 | 276, 368 |
2 | 138, 184 |
23 | 69, 92 |
3, 4 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38932739/92
Therefore the LCM of Fractions 5207/276,7477/368 is 38932739/92
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 276,368 . The biggest common factor number is the GCF number.
So the greatest common factor 276,368 is 92.
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 5207/276, 7477/368?
Answer: LCM of Numerators as per given numbers 5207/276, 7477/368 is
LCM of Numerators i.e. for 5207,7477 is 38932739
GCF of denominators i.e. for 276,368 is 92.
Thus, LCM of Fractions is 38932739/92.Finally, LCM of Fractions for 5207/276, 7477/368 is 38932739/92.