Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3185/378, 7498/875 quickly i.e. 3411590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3185/378, 7498/875 is 3411590.
LCM(3185/378, 7498/875) = 3411590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3185/378,7498/875
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 3185,7498
Least Common Multiple of Numerators i.e. LCM of 3185,7498 is 23881130.
GCF of Denominators means GCF of 378,875 as per the given fractions.
GCF of 378,875 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3185,7498
Given numbers has no common factors except 1. So, there LCM is their product i.e 23881130
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 3185,7498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3185,7498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3185,7498) x common factors =1 x 1 = 1
LCM(3185,7498) = ( 3185 × 7498 ) / 1
LCM(3185,7498) = 23881130 / 1
LCM(3185,7498) = 23881130
Lets's calculate GCF of 378,875
7 | 378, 875 |
54, 125 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23881130/7
Therefore the LCM of Fractions 3185/378,7498/875 is 3411590
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 378,875 . The biggest common factor number is the GCF number.
So the greatest common factor 378,875 is 7.
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 3185/378, 7498/875?
Answer: LCM of Numerators as per given numbers 3185/378, 7498/875 is
LCM of Numerators i.e. for 3185,7498 is 23881130
GCF of denominators i.e. for 378,875 is 7.
Thus, LCM of Fractions is 3411590.Finally, LCM of Fractions for 3185/378, 7498/875 is 3411590.