Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/76, 683/17, 685/977 quickly i.e. 32281995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/76, 683/17, 685/977 is 32281995.
LCM(69/76, 683/17, 685/977) = 32281995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/76,683/17,685/977
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 69,683,685
Least Common Multiple of Numerators i.e. LCM of 69,683,685 is 32281995.
GCF of Denominators means GCF of 76,17,977 as per the given fractions.
GCF of 76,17,977 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,683,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 32281995
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 69,683,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,683,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,683,685) x common factors =1 x 1 = 1
LCM(69,683,685) = ( 69 × 683 × 685 ) / 1
LCM(69,683,685) = 32281995 / 1
LCM(69,683,685) = 32281995
Lets's calculate GCF of 76,17,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32281995/1
Therefore the LCM of Fractions 69/76,683/17,685/977 is 32281995
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Greatest Common Factor
We found the factors 76,17,977 . The biggest common factor number is the GCF number.
So the greatest common factor 76,17,977 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 69/76, 683/17, 685/977?
Answer: LCM of Numerators as per given numbers 69/76, 683/17, 685/977 is
LCM of Numerators i.e. for 69,683,685 is 32281995
GCF of denominators i.e. for 76,17,977 is 1.
Thus, LCM of Fractions is 32281995.Finally, LCM of Fractions for 69/76, 683/17, 685/977 is 32281995.