Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 687/776, 8176/440 quickly i.e. 702114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 687/776, 8176/440 is 702114.
LCM(687/776, 8176/440) = 702114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 687/776,8176/440
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 687,8176
Least Common Multiple of Numerators i.e. LCM of 687,8176 is 5616912.
GCF of Denominators means GCF of 776,440 as per the given fractions.
GCF of 776,440 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 687,8176
Given numbers has no common factors except 1. So, there LCM is their product i.e 5616912
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 687,8176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,8176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,8176) x common factors =1 x 1 = 1
LCM(687,8176) = ( 687 × 8176 ) / 1
LCM(687,8176) = 5616912 / 1
LCM(687,8176) = 5616912
Lets's calculate GCF of 776,440
2 | 776, 440 |
2 | 388, 220 |
2 | 194, 110 |
97, 55 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5616912/8
Therefore the LCM of Fractions 687/776,8176/440 is 702114
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 776,440 . The biggest common factor number is the GCF number.
So the greatest common factor 776,440 is 8.
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 687/776, 8176/440?
Answer: LCM of Numerators as per given numbers 687/776, 8176/440 is
LCM of Numerators i.e. for 687,8176 is 5616912
GCF of denominators i.e. for 776,440 is 8.
Thus, LCM of Fractions is 702114.Finally, LCM of Fractions for 687/776, 8176/440 is 702114.