Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4352/854, 3703/316 quickly i.e. 8057728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4352/854, 3703/316 is 8057728.
LCM(4352/854, 3703/316) = 8057728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4352/854,3703/316
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 4352,3703
Least Common Multiple of Numerators i.e. LCM of 4352,3703 is 16115456.
GCF of Denominators means GCF of 854,316 as per the given fractions.
GCF of 854,316 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4352,3703
Given numbers has no common factors except 1. So, there LCM is their product i.e 16115456
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 4352,3703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4352,3703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4352,3703) x common factors =1 x 1 = 1
LCM(4352,3703) = ( 4352 × 3703 ) / 1
LCM(4352,3703) = 16115456 / 1
LCM(4352,3703) = 16115456
Lets's calculate GCF of 854,316
2 | 854, 316 |
427, 158 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16115456/2
Therefore the LCM of Fractions 4352/854,3703/316 is 8057728
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 854,316 . The biggest common factor number is the GCF number.
So the greatest common factor 854,316 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 4352/854, 3703/316?
Answer: LCM of Numerators as per given numbers 4352/854, 3703/316 is
LCM of Numerators i.e. for 4352,3703 is 16115456
GCF of denominators i.e. for 854,316 is 2.
Thus, LCM of Fractions is 8057728.Finally, LCM of Fractions for 4352/854, 3703/316 is 8057728.