Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/874, 479/586, 773/932 quickly i.e. 11478277 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/874, 479/586, 773/932 is 11478277.
LCM(62/874, 479/586, 773/932) = 11478277
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/874,479/586,773/932
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 62,479,773
Least Common Multiple of Numerators i.e. LCM of 62,479,773 is 22956554.
GCF of Denominators means GCF of 874,586,932 as per the given fractions.
GCF of 874,586,932 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,479,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 22956554
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 62,479,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,479,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,479,773) x common factors =1 x 1 = 1
LCM(62,479,773) = ( 62 × 479 × 773 ) / 1
LCM(62,479,773) = 22956554 / 1
LCM(62,479,773) = 22956554
Lets's calculate GCF of 874,586,932
2 | 874, 586, 932 |
437, 293, 466 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22956554/2
Therefore the LCM of Fractions 62/874,479/586,773/932 is 11478277
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 874,586,932 . The biggest common factor number is the GCF number.
So the greatest common factor 874,586,932 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 62/874, 479/586, 773/932?
Answer: LCM of Numerators as per given numbers 62/874, 479/586, 773/932 is
LCM of Numerators i.e. for 62,479,773 is 22956554
GCF of denominators i.e. for 874,586,932 is 2.
Thus, LCM of Fractions is 11478277.Finally, LCM of Fractions for 62/874, 479/586, 773/932 is 11478277.