Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/644, 636/76, 485/220 quickly i.e. 1773645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/644, 636/76, 485/220 is 1773645.
LCM(92/644, 636/76, 485/220) = 1773645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/644,636/76,485/220
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 92,636,485
Least Common Multiple of Numerators i.e. LCM of 92,636,485 is 7094580.
GCF of Denominators means GCF of 644,76,220 as per the given fractions.
GCF of 644,76,220 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,636,485
2 | 92, 636, 485 |
2 | 46, 318, 485 |
23, 159, 485 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 159 x 485 = 7094580
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 92,636,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,636,485) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,636,485) x common factors =1 x 4 = 4
LCM(92,636,485) = ( 92 × 636 × 485 ) / 4
LCM(92,636,485) = 28378320 / 4
LCM(92,636,485) = 7094580
Lets's calculate GCF of 644,76,220
2 | 644, 76, 220 |
2 | 322, 38, 110 |
161, 19, 55 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7094580/4
Therefore the LCM of Fractions 92/644,636/76,485/220 is 1773645
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 644,76,220 . The biggest common factor number is the GCF number.
So the greatest common factor 644,76,220 is 4.
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 92/644, 636/76, 485/220?
Answer: LCM of Numerators as per given numbers 92/644, 636/76, 485/220 is
LCM of Numerators i.e. for 92,636,485 is 7094580
GCF of denominators i.e. for 644,76,220 is 4.
Thus, LCM of Fractions is 1773645.Finally, LCM of Fractions for 92/644, 636/76, 485/220 is 1773645.