Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/287, 95/385, 106/147 quickly i.e. 110770/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/287, 95/385, 106/147 is 110770/7.
LCM(55/287, 95/385, 106/147) = 110770/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/287,95/385,106/147
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 55,95,106
Least Common Multiple of Numerators i.e. LCM of 55,95,106 is 110770.
GCF of Denominators means GCF of 287,385,147 as per the given fractions.
GCF of 287,385,147 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,95,106
5 | 55, 95, 106 |
11, 19, 106 |
∴ So the LCM of the given numbers is 5 x 11 x 19 x 106 = 110770
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 55,95,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,95,106) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,95,106) x common factors =1 x 5 = 5
LCM(55,95,106) = ( 55 × 95 × 106 ) / 5
LCM(55,95,106) = 553850 / 5
LCM(55,95,106) = 110770
Lets's calculate GCF of 287,385,147
7 | 287, 385, 147 |
41, 55, 21 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110770/7
Therefore the LCM of Fractions 55/287,95/385,106/147 is 110770/7
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 287,385,147 . The biggest common factor number is the GCF number.
So the greatest common factor 287,385,147 is 7.
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 55/287, 95/385, 106/147?
Answer: LCM of Numerators as per given numbers 55/287, 95/385, 106/147 is
LCM of Numerators i.e. for 55,95,106 is 110770
GCF of denominators i.e. for 287,385,147 is 7.
Thus, LCM of Fractions is 110770/7.Finally, LCM of Fractions for 55/287, 95/385, 106/147 is 110770/7.