Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/348, 1956/662 quickly i.e. 270906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/348, 1956/662 is 270906.
LCM(554/348, 1956/662) = 270906
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/348,1956/662
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 554,1956
Least Common Multiple of Numerators i.e. LCM of 554,1956 is 541812.
GCF of Denominators means GCF of 348,662 as per the given fractions.
GCF of 348,662 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,1956
2 | 554, 1956 |
277, 978 |
∴ So the LCM of the given numbers is 2 x 277 x 978 = 541812
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 554,1956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,1956) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,1956) x common factors =2 x 1 = 2
LCM(554,1956) = ( 554 × 1956 ) / 2
LCM(554,1956) = 1083624 / 2
LCM(554,1956) = 541812
Lets's calculate GCF of 348,662
2 | 348, 662 |
174, 331 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541812/2
Therefore the LCM of Fractions 554/348,1956/662 is 270906
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 348,662 . The biggest common factor number is the GCF number.
So the greatest common factor 348,662 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 554/348, 1956/662?
Answer: LCM of Numerators as per given numbers 554/348, 1956/662 is
LCM of Numerators i.e. for 554,1956 is 541812
GCF of denominators i.e. for 348,662 is 2.
Thus, LCM of Fractions is 270906.Finally, LCM of Fractions for 554/348, 1956/662 is 270906.