Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4343/316, 2504/726 quickly i.e. 5437436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4343/316, 2504/726 is 5437436.
LCM(4343/316, 2504/726) = 5437436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4343/316,2504/726
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 4343,2504
Least Common Multiple of Numerators i.e. LCM of 4343,2504 is 10874872.
GCF of Denominators means GCF of 316,726 as per the given fractions.
GCF of 316,726 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4343,2504
Given numbers has no common factors except 1. So, there LCM is their product i.e 10874872
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 4343,2504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4343,2504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4343,2504) x common factors =1 x 1 = 1
LCM(4343,2504) = ( 4343 × 2504 ) / 1
LCM(4343,2504) = 10874872 / 1
LCM(4343,2504) = 10874872
Lets's calculate GCF of 316,726
2 | 316, 726 |
158, 363 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10874872/2
Therefore the LCM of Fractions 4343/316,2504/726 is 5437436
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 316,726 . The biggest common factor number is the GCF number.
So the greatest common factor 316,726 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 4343/316, 2504/726?
Answer: LCM of Numerators as per given numbers 4343/316, 2504/726 is
LCM of Numerators i.e. for 4343,2504 is 10874872
GCF of denominators i.e. for 316,726 is 2.
Thus, LCM of Fractions is 5437436.Finally, LCM of Fractions for 4343/316, 2504/726 is 5437436.