Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 448/627, 6156/935 quickly i.e. 689472/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 448/627, 6156/935 is 689472/11.
LCM(448/627, 6156/935) = 689472/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 448/627,6156/935
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 448,6156
Least Common Multiple of Numerators i.e. LCM of 448,6156 is 689472.
GCF of Denominators means GCF of 627,935 as per the given fractions.
GCF of 627,935 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 448,6156
2 | 448, 6156 |
2 | 224, 3078 |
112, 1539 |
∴ So the LCM of the given numbers is 2 x 2 x 112 x 1539 = 689472
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 448,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,6156) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(448,6156) x common factors =4 x 1 = 4
LCM(448,6156) = ( 448 × 6156 ) / 4
LCM(448,6156) = 2757888 / 4
LCM(448,6156) = 689472
Lets's calculate GCF of 627,935
11 | 627, 935 |
57, 85 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689472/11
Therefore the LCM of Fractions 448/627,6156/935 is 689472/11
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 627,935 . The biggest common factor number is the GCF number.
So the greatest common factor 627,935 is 11.
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 448/627, 6156/935?
Answer: LCM of Numerators as per given numbers 448/627, 6156/935 is
LCM of Numerators i.e. for 448,6156 is 689472
GCF of denominators i.e. for 627,935 is 11.
Thus, LCM of Fractions is 689472/11.Finally, LCM of Fractions for 448/627, 6156/935 is 689472/11.