Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7767/869, 1080/237 quickly i.e. 932040/79 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7767/869, 1080/237 is 932040/79.
LCM(7767/869, 1080/237) = 932040/79
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7767/869,1080/237
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 7767,1080
Least Common Multiple of Numerators i.e. LCM of 7767,1080 is 932040.
GCF of Denominators means GCF of 869,237 as per the given fractions.
GCF of 869,237 is 79 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7767,1080
3 | 7767, 1080 |
3 | 2589, 360 |
863, 120 |
∴ So the LCM of the given numbers is 3 x 3 x 863 x 120 = 932040
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 7767,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7767,1080) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(7767,1080) x common factors =9 x 1 = 9
LCM(7767,1080) = ( 7767 × 1080 ) / 9
LCM(7767,1080) = 8388360 / 9
LCM(7767,1080) = 932040
Lets's calculate GCF of 869,237
79 | 869, 237 |
11, 3 |
∴ So the GCF of the given numbers is 79 = 79
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 932040/79
Therefore the LCM of Fractions 7767/869,1080/237 is 932040/79
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 869,237 . The biggest common factor number is the GCF number.
So the greatest common factor 869,237 is 79.
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 7767/869, 1080/237?
Answer: LCM of Numerators as per given numbers 7767/869, 1080/237 is
LCM of Numerators i.e. for 7767,1080 is 932040
GCF of denominators i.e. for 869,237 is 79.
Thus, LCM of Fractions is 932040/79.Finally, LCM of Fractions for 7767/869, 1080/237 is 932040/79.