Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5851/749, 2766/896 quickly i.e. 16183866/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5851/749, 2766/896 is 16183866/7.
LCM(5851/749, 2766/896) = 16183866/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5851/749,2766/896
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 5851,2766
Least Common Multiple of Numerators i.e. LCM of 5851,2766 is 16183866.
GCF of Denominators means GCF of 749,896 as per the given fractions.
GCF of 749,896 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5851,2766
Given numbers has no common factors except 1. So, there LCM is their product i.e 16183866
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 5851,2766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5851,2766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5851,2766) x common factors =1 x 1 = 1
LCM(5851,2766) = ( 5851 × 2766 ) / 1
LCM(5851,2766) = 16183866 / 1
LCM(5851,2766) = 16183866
Lets's calculate GCF of 749,896
7 | 749, 896 |
107, 128 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16183866/7
Therefore the LCM of Fractions 5851/749,2766/896 is 16183866/7
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 749,896 . The biggest common factor number is the GCF number.
So the greatest common factor 749,896 is 7.
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 5851/749, 2766/896?
Answer: LCM of Numerators as per given numbers 5851/749, 2766/896 is
LCM of Numerators i.e. for 5851,2766 is 16183866
GCF of denominators i.e. for 749,896 is 7.
Thus, LCM of Fractions is 16183866/7.Finally, LCM of Fractions for 5851/749, 2766/896 is 16183866/7.