Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 674/291, 110/436, 714/379 quickly i.e. 13233990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 674/291, 110/436, 714/379 is 13233990.
LCM(674/291, 110/436, 714/379) = 13233990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 674/291,110/436,714/379
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 674,110,714
Least Common Multiple of Numerators i.e. LCM of 674,110,714 is 13233990.
GCF of Denominators means GCF of 291,436,379 as per the given fractions.
GCF of 291,436,379 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 674,110,714
2 | 674, 110, 714 |
337, 55, 357 |
∴ So the LCM of the given numbers is 2 x 337 x 55 x 357 = 13233990
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 674,110,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,110,714) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(674,110,714) x common factors =2 x 2 = 4
LCM(674,110,714) = ( 674 × 110 × 714 ) / 4
LCM(674,110,714) = 52935960 / 4
LCM(674,110,714) = 13233990
Lets's calculate GCF of 291,436,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13233990/1
Therefore the LCM of Fractions 674/291,110/436,714/379 is 13233990
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 291,436,379 . The biggest common factor number is the GCF number.
So the greatest common factor 291,436,379 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 674/291, 110/436, 714/379?
Answer: LCM of Numerators as per given numbers 674/291, 110/436, 714/379 is
LCM of Numerators i.e. for 674,110,714 is 13233990
GCF of denominators i.e. for 291,436,379 is 1.
Thus, LCM of Fractions is 13233990.Finally, LCM of Fractions for 674/291, 110/436, 714/379 is 13233990.