Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3151/896, 6176/734 quickly i.e. 9730288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3151/896, 6176/734 is 9730288.
LCM(3151/896, 6176/734) = 9730288
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3151/896,6176/734
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 3151,6176
Least Common Multiple of Numerators i.e. LCM of 3151,6176 is 19460576.
GCF of Denominators means GCF of 896,734 as per the given fractions.
GCF of 896,734 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3151,6176
Given numbers has no common factors except 1. So, there LCM is their product i.e 19460576
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 3151,6176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3151,6176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3151,6176) x common factors =1 x 1 = 1
LCM(3151,6176) = ( 3151 × 6176 ) / 1
LCM(3151,6176) = 19460576 / 1
LCM(3151,6176) = 19460576
Lets's calculate GCF of 896,734
2 | 896, 734 |
448, 367 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19460576/2
Therefore the LCM of Fractions 3151/896,6176/734 is 9730288
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
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 896,734 . The biggest common factor number is the GCF number.
So the greatest common factor 896,734 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 3151/896, 6176/734?
Answer: LCM of Numerators as per given numbers 3151/896, 6176/734 is
LCM of Numerators i.e. for 3151,6176 is 19460576
GCF of denominators i.e. for 896,734 is 2.
Thus, LCM of Fractions is 9730288.Finally, LCM of Fractions for 3151/896, 6176/734 is 9730288.