Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8478/141, 3735/1748 quickly i.e. 3518370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8478/141, 3735/1748 is 3518370.
LCM(8478/141, 3735/1748) = 3518370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8478/141,3735/1748
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 8478,3735
Least Common Multiple of Numerators i.e. LCM of 8478,3735 is 3518370.
GCF of Denominators means GCF of 141,1748 as per the given fractions.
GCF of 141,1748 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8478,3735
3 | 8478, 3735 |
3 | 2826, 1245 |
942, 415 |
∴ So the LCM of the given numbers is 3 x 3 x 942 x 415 = 3518370
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 8478,3735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8478,3735) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(8478,3735) x common factors =9 x 1 = 9
LCM(8478,3735) = ( 8478 × 3735 ) / 9
LCM(8478,3735) = 31665330 / 9
LCM(8478,3735) = 3518370
Lets's calculate GCF of 141,1748
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3518370/1
Therefore the LCM of Fractions 8478/141,3735/1748 is 3518370
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 1748
List of positive integer factors of 1748 that divides 1748 without a remainder.
1,2,4,19,23,38,46,76,92,437,874,1748
Greatest Common Factor
We found the factors 141,1748 . The biggest common factor number is the GCF number.
So the greatest common factor 141,1748 is 1.
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 8478/141, 3735/1748?
Answer: LCM of Numerators as per given numbers 8478/141, 3735/1748 is
LCM of Numerators i.e. for 8478,3735 is 3518370
GCF of denominators i.e. for 141,1748 is 1.
Thus, LCM of Fractions is 3518370.Finally, LCM of Fractions for 8478/141, 3735/1748 is 3518370.