Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/992, 652/277, 732/664 quickly i.e. 5130588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/992, 652/277, 732/664 is 5130588.
LCM(43/992, 652/277, 732/664) = 5130588
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/992,652/277,732/664
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 43,652,732
Least Common Multiple of Numerators i.e. LCM of 43,652,732 is 5130588.
GCF of Denominators means GCF of 992,277,664 as per the given fractions.
GCF of 992,277,664 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,652,732
2 | 43, 652, 732 |
2 | 43, 326, 366 |
43, 163, 183 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 163 x 183 = 5130588
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 43,652,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,652,732) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(43,652,732) x common factors =1 x 4 = 4
LCM(43,652,732) = ( 43 × 652 × 732 ) / 4
LCM(43,652,732) = 20522352 / 4
LCM(43,652,732) = 5130588
Lets's calculate GCF of 992,277,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5130588/1
Therefore the LCM of Fractions 43/992,652/277,732/664 is 5130588
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 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 992,277,664 . The biggest common factor number is the GCF number.
So the greatest common factor 992,277,664 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 43/992, 652/277, 732/664?
Answer: LCM of Numerators as per given numbers 43/992, 652/277, 732/664 is
LCM of Numerators i.e. for 43,652,732 is 5130588
GCF of denominators i.e. for 992,277,664 is 1.
Thus, LCM of Fractions is 5130588.Finally, LCM of Fractions for 43/992, 652/277, 732/664 is 5130588.