Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5558/695, 2719/5695 quickly i.e. 15112202/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5558/695, 2719/5695 is 15112202/5.
LCM(5558/695, 2719/5695) = 15112202/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5558/695,2719/5695
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 5558,2719
Least Common Multiple of Numerators i.e. LCM of 5558,2719 is 15112202.
GCF of Denominators means GCF of 695,5695 as per the given fractions.
GCF of 695,5695 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5558,2719
Given numbers has no common factors except 1. So, there LCM is their product i.e 15112202
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 5558,2719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5558,2719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5558,2719) x common factors =1 x 1 = 1
LCM(5558,2719) = ( 5558 × 2719 ) / 1
LCM(5558,2719) = 15112202 / 1
LCM(5558,2719) = 15112202
Lets's calculate GCF of 695,5695
5 | 695, 5695 |
139, 1139 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15112202/5
Therefore the LCM of Fractions 5558/695,2719/5695 is 15112202/5
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 5695
List of positive integer factors of 5695 that divides 5695 without a remainder.
1,5,17,67,85,335,1139,5695
Greatest Common Factor
We found the factors 695,5695 . The biggest common factor number is the GCF number.
So the greatest common factor 695,5695 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 5558/695, 2719/5695?
Answer: LCM of Numerators as per given numbers 5558/695, 2719/5695 is
LCM of Numerators i.e. for 5558,2719 is 15112202
GCF of denominators i.e. for 695,5695 is 5.
Thus, LCM of Fractions is 15112202/5.Finally, LCM of Fractions for 5558/695, 2719/5695 is 15112202/5.