Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 156/95, 229/3400 quickly i.e. 35724/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 156/95, 229/3400 is 35724/5.
LCM(156/95, 229/3400) = 35724/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 156/95,229/3400
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 156,229
Least Common Multiple of Numerators i.e. LCM of 156,229 is 35724.
GCF of Denominators means GCF of 95,3400 as per the given fractions.
GCF of 95,3400 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 156,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 35724
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 156,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,229) x common factors =1 x 1 = 1
LCM(156,229) = ( 156 × 229 ) / 1
LCM(156,229) = 35724 / 1
LCM(156,229) = 35724
Lets's calculate GCF of 95,3400
5 | 95, 3400 |
19, 680 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35724/5
Therefore the LCM of Fractions 156/95,229/3400 is 35724/5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 3400
List of positive integer factors of 3400 that divides 3400 without a remainder.
1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Greatest Common Factor
We found the factors 95,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 95,3400 is 5.
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 156/95, 229/3400?
Answer: LCM of Numerators as per given numbers 156/95, 229/3400 is
LCM of Numerators i.e. for 156,229 is 35724
GCF of denominators i.e. for 95,3400 is 5.
Thus, LCM of Fractions is 35724/5.Finally, LCM of Fractions for 156/95, 229/3400 is 35724/5.