Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2374/28, 8174/470 quickly i.e. 4851269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2374/28, 8174/470 is 4851269.
LCM(2374/28, 8174/470) = 4851269
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2374/28,8174/470
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 2374,8174
Least Common Multiple of Numerators i.e. LCM of 2374,8174 is 9702538.
GCF of Denominators means GCF of 28,470 as per the given fractions.
GCF of 28,470 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2374,8174
2 | 2374, 8174 |
1187, 4087 |
∴ So the LCM of the given numbers is 2 x 1187 x 4087 = 9702538
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 2374,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2374,8174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2374,8174) x common factors =2 x 1 = 2
LCM(2374,8174) = ( 2374 × 8174 ) / 2
LCM(2374,8174) = 19405076 / 2
LCM(2374,8174) = 9702538
Lets's calculate GCF of 28,470
2 | 28, 470 |
14, 235 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9702538/2
Therefore the LCM of Fractions 2374/28,8174/470 is 4851269
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 28,470 . The biggest common factor number is the GCF number.
So the greatest common factor 28,470 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 2374/28, 8174/470?
Answer: LCM of Numerators as per given numbers 2374/28, 8174/470 is
LCM of Numerators i.e. for 2374,8174 is 9702538
GCF of denominators i.e. for 28,470 is 2.
Thus, LCM of Fractions is 4851269.Finally, LCM of Fractions for 2374/28, 8174/470 is 4851269.