Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/676, 31/574, 951/923 quickly i.e. 58962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/676, 31/574, 951/923 is 58962.
LCM(62/676, 31/574, 951/923) = 58962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/676,31/574,951/923
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 62,31,951
Least Common Multiple of Numerators i.e. LCM of 62,31,951 is 58962.
GCF of Denominators means GCF of 676,574,923 as per the given fractions.
GCF of 676,574,923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,31,951
31 | 62, 31, 951 |
2, 1, 951 |
∴ So the LCM of the given numbers is 31 x 2 x 1 x 951 = 58962
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 62,31,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,31,951) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(62,31,951) x common factors =1 x 31 = 31
LCM(62,31,951) = ( 62 × 31 × 951 ) / 31
LCM(62,31,951) = 1827822 / 31
LCM(62,31,951) = 58962
Lets's calculate GCF of 676,574,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58962/1
Therefore the LCM of Fractions 62/676,31/574,951/923 is 58962
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 676,574,923 . The biggest common factor number is the GCF number.
So the greatest common factor 676,574,923 is 1.
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 62/676, 31/574, 951/923?
Answer: LCM of Numerators as per given numbers 62/676, 31/574, 951/923 is
LCM of Numerators i.e. for 62,31,951 is 58962
GCF of denominators i.e. for 676,574,923 is 1.
Thus, LCM of Fractions is 58962.Finally, LCM of Fractions for 62/676, 31/574, 951/923 is 58962.