Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/177, 888/228, 567/278 quickly i.e. 839160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/177, 888/228, 567/278 is 839160.
LCM(20/177, 888/228, 567/278) = 839160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/177,888/228,567/278
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 20,888,567
Least Common Multiple of Numerators i.e. LCM of 20,888,567 is 839160.
GCF of Denominators means GCF of 177,228,278 as per the given fractions.
GCF of 177,228,278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,888,567
2 | 20, 888, 567 |
2 | 10, 444, 567 |
3 | 5, 222, 567 |
5, 74, 189 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 74 x 189 = 839160
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 20,888,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,888,567) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(20,888,567) x common factors =1 x 12 = 12
LCM(20,888,567) = ( 20 × 888 × 567 ) / 12
LCM(20,888,567) = 10069920 / 12
LCM(20,888,567) = 839160
Lets's calculate GCF of 177,228,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 839160/1
Therefore the LCM of Fractions 20/177,888/228,567/278 is 839160
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 177,228,278 . The biggest common factor number is the GCF number.
So the greatest common factor 177,228,278 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 20/177, 888/228, 567/278?
Answer: LCM of Numerators as per given numbers 20/177, 888/228, 567/278 is
LCM of Numerators i.e. for 20,888,567 is 839160
GCF of denominators i.e. for 177,228,278 is 1.
Thus, LCM of Fractions is 839160.Finally, LCM of Fractions for 20/177, 888/228, 567/278 is 839160.