Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/654, 10/554, 168/532 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/654, 10/554, 168/532 is 420.
LCM(40/654, 10/554, 168/532) = 420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/654,10/554,168/532
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 40,10,168
Least Common Multiple of Numerators i.e. LCM of 40,10,168 is 840.
GCF of Denominators means GCF of 654,554,532 as per the given fractions.
GCF of 654,554,532 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,10,168
2 | 40, 10, 168 |
2 | 20, 5, 84 |
2 | 10, 5, 42 |
5 | 5, 5, 21 |
1, 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 21 = 840
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 40,10,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,10,168) = 2
common factors(in case of two or more numbers have common factors) = 40
GCF(40,10,168) x common factors =2 x 40 = 80
LCM(40,10,168) = ( 40 × 10 × 168 ) / 80
LCM(40,10,168) = 67200 / 80
LCM(40,10,168) = 840
Lets's calculate GCF of 654,554,532
2 | 654, 554, 532 |
327, 277, 266 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840/2
Therefore the LCM of Fractions 40/654,10/554,168/532 is 420
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 654,554,532 . The biggest common factor number is the GCF number.
So the greatest common factor 654,554,532 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 40/654, 10/554, 168/532?
Answer: LCM of Numerators as per given numbers 40/654, 10/554, 168/532 is
LCM of Numerators i.e. for 40,10,168 is 840
GCF of denominators i.e. for 654,554,532 is 2.
Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 40/654, 10/554, 168/532 is 420.