Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2827/156, 2672/6782 quickly i.e. 3776872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2827/156, 2672/6782 is 3776872.
LCM(2827/156, 2672/6782) = 3776872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2827/156,2672/6782
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 2827,2672
Least Common Multiple of Numerators i.e. LCM of 2827,2672 is 7553744.
GCF of Denominators means GCF of 156,6782 as per the given fractions.
GCF of 156,6782 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2827,2672
Given numbers has no common factors except 1. So, there LCM is their product i.e 7553744
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 2827,2672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2827,2672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2827,2672) x common factors =1 x 1 = 1
LCM(2827,2672) = ( 2827 × 2672 ) / 1
LCM(2827,2672) = 7553744 / 1
LCM(2827,2672) = 7553744
Lets's calculate GCF of 156,6782
2 | 156, 6782 |
78, 3391 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7553744/2
Therefore the LCM of Fractions 2827/156,2672/6782 is 3776872
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 6782
List of positive integer factors of 6782 that divides 6782 without a remainder.
1,2,3391,6782
Greatest Common Factor
We found the factors 156,6782 . The biggest common factor number is the GCF number.
So the greatest common factor 156,6782 is 2.
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 2827/156, 2672/6782?
Answer: LCM of Numerators as per given numbers 2827/156, 2672/6782 is
LCM of Numerators i.e. for 2827,2672 is 7553744
GCF of denominators i.e. for 156,6782 is 2.
Thus, LCM of Fractions is 3776872.Finally, LCM of Fractions for 2827/156, 2672/6782 is 3776872.