Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 177/376, 533/284, 480/326 quickly i.e. 7547280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 177/376, 533/284, 480/326 is 7547280.
LCM(177/376, 533/284, 480/326) = 7547280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 177/376,533/284,480/326
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 177,533,480
Least Common Multiple of Numerators i.e. LCM of 177,533,480 is 15094560.
GCF of Denominators means GCF of 376,284,326 as per the given fractions.
GCF of 376,284,326 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 177,533,480
3 | 177, 533, 480 |
59, 533, 160 |
∴ So the LCM of the given numbers is 3 x 59 x 533 x 160 = 15094560
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 177,533,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,533,480) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(177,533,480) x common factors =1 x 3 = 3
LCM(177,533,480) = ( 177 × 533 × 480 ) / 3
LCM(177,533,480) = 45283680 / 3
LCM(177,533,480) = 15094560
Lets's calculate GCF of 376,284,326
2 | 376, 284, 326 |
188, 142, 163 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15094560/2
Therefore the LCM of Fractions 177/376,533/284,480/326 is 7547280
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 376,284,326 . The biggest common factor number is the GCF number.
So the greatest common factor 376,284,326 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 177/376, 533/284, 480/326?
Answer: LCM of Numerators as per given numbers 177/376, 533/284, 480/326 is
LCM of Numerators i.e. for 177,533,480 is 15094560
GCF of denominators i.e. for 376,284,326 is 2.
Thus, LCM of Fractions is 7547280.Finally, LCM of Fractions for 177/376, 533/284, 480/326 is 7547280.