Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1196/68, 2671/224 quickly i.e. 798629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1196/68, 2671/224 is 798629.
LCM(1196/68, 2671/224) = 798629
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1196/68,2671/224
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 1196,2671
Least Common Multiple of Numerators i.e. LCM of 1196,2671 is 3194516.
GCF of Denominators means GCF of 68,224 as per the given fractions.
GCF of 68,224 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1196,2671
Given numbers has no common factors except 1. So, there LCM is their product i.e 3194516
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 1196,2671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1196,2671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1196,2671) x common factors =1 x 1 = 1
LCM(1196,2671) = ( 1196 × 2671 ) / 1
LCM(1196,2671) = 3194516 / 1
LCM(1196,2671) = 3194516
Lets's calculate GCF of 68,224
2 | 68, 224 |
2 | 34, 112 |
17, 56 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3194516/4
Therefore the LCM of Fractions 1196/68,2671/224 is 798629
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 68,224 . The biggest common factor number is the GCF number.
So the greatest common factor 68,224 is 4.
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 1196/68, 2671/224?
Answer: LCM of Numerators as per given numbers 1196/68, 2671/224 is
LCM of Numerators i.e. for 1196,2671 is 3194516
GCF of denominators i.e. for 68,224 is 4.
Thus, LCM of Fractions is 798629.Finally, LCM of Fractions for 1196/68, 2671/224 is 798629.