Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 874/342, 7824/3476 quickly i.e. 1709544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 874/342, 7824/3476 is 1709544.
LCM(874/342, 7824/3476) = 1709544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 874/342,7824/3476
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 874,7824
Least Common Multiple of Numerators i.e. LCM of 874,7824 is 3419088.
GCF of Denominators means GCF of 342,3476 as per the given fractions.
GCF of 342,3476 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 874,7824
2 | 874, 7824 |
437, 3912 |
∴ So the LCM of the given numbers is 2 x 437 x 3912 = 3419088
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 874,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,7824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,7824) x common factors =2 x 1 = 2
LCM(874,7824) = ( 874 × 7824 ) / 2
LCM(874,7824) = 6838176 / 2
LCM(874,7824) = 3419088
Lets's calculate GCF of 342,3476
2 | 342, 3476 |
171, 1738 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3419088/2
Therefore the LCM of Fractions 874/342,7824/3476 is 1709544
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 3476
List of positive integer factors of 3476 that divides 3476 without a remainder.
1,2,4,11,22,44,79,158,316,869,1738,3476
Greatest Common Factor
We found the factors 342,3476 . The biggest common factor number is the GCF number.
So the greatest common factor 342,3476 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 874/342, 7824/3476?
Answer: LCM of Numerators as per given numbers 874/342, 7824/3476 is
LCM of Numerators i.e. for 874,7824 is 3419088
GCF of denominators i.e. for 342,3476 is 2.
Thus, LCM of Fractions is 1709544.Finally, LCM of Fractions for 874/342, 7824/3476 is 1709544.