Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 876/14, 697/95, 877/869 quickly i.e. 535471644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 876/14, 697/95, 877/869 is 535471644.
LCM(876/14, 697/95, 877/869) = 535471644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 876/14,697/95,877/869
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 876,697,877
Least Common Multiple of Numerators i.e. LCM of 876,697,877 is 535471644.
GCF of Denominators means GCF of 14,95,869 as per the given fractions.
GCF of 14,95,869 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 876,697,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 535471644
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 876,697,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,697,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(876,697,877) x common factors =1 x 1 = 1
LCM(876,697,877) = ( 876 × 697 × 877 ) / 1
LCM(876,697,877) = 535471644 / 1
LCM(876,697,877) = 535471644
Lets's calculate GCF of 14,95,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535471644/1
Therefore the LCM of Fractions 876/14,697/95,877/869 is 535471644
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Greatest Common Factor
We found the factors 14,95,869 . The biggest common factor number is the GCF number.
So the greatest common factor 14,95,869 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 876/14, 697/95, 877/869?
Answer: LCM of Numerators as per given numbers 876/14, 697/95, 877/869 is
LCM of Numerators i.e. for 876,697,877 is 535471644
GCF of denominators i.e. for 14,95,869 is 1.
Thus, LCM of Fractions is 535471644.Finally, LCM of Fractions for 876/14, 697/95, 877/869 is 535471644.