Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/992, 72/232, 682/786 quickly i.e. 282348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/992, 72/232, 682/786 is 282348.
LCM(46/992, 72/232, 682/786) = 282348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/992,72/232,682/786
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 46,72,682
Least Common Multiple of Numerators i.e. LCM of 46,72,682 is 564696.
GCF of Denominators means GCF of 992,232,786 as per the given fractions.
GCF of 992,232,786 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,72,682
2 | 46, 72, 682 |
23, 36, 341 |
∴ So the LCM of the given numbers is 2 x 23 x 36 x 341 = 564696
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 46,72,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,72,682) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(46,72,682) x common factors =2 x 2 = 4
LCM(46,72,682) = ( 46 × 72 × 682 ) / 4
LCM(46,72,682) = 2258784 / 4
LCM(46,72,682) = 564696
Lets's calculate GCF of 992,232,786
2 | 992, 232, 786 |
496, 116, 393 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564696/2
Therefore the LCM of Fractions 46/992,72/232,682/786 is 282348
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 992,232,786 . The biggest common factor number is the GCF number.
So the greatest common factor 992,232,786 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 46/992, 72/232, 682/786?
Answer: LCM of Numerators as per given numbers 46/992, 72/232, 682/786 is
LCM of Numerators i.e. for 46,72,682 is 564696
GCF of denominators i.e. for 992,232,786 is 2.
Thus, LCM of Fractions is 282348.Finally, LCM of Fractions for 46/992, 72/232, 682/786 is 282348.