Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 155/42, 275/6811 quickly i.e. 8525/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 155/42, 275/6811 is 8525/7.
LCM(155/42, 275/6811) = 8525/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 155/42,275/6811
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 155,275
Least Common Multiple of Numerators i.e. LCM of 155,275 is 8525.
GCF of Denominators means GCF of 42,6811 as per the given fractions.
GCF of 42,6811 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 155,275
5 | 155, 275 |
31, 55 |
∴ So the LCM of the given numbers is 5 x 31 x 55 = 8525
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 155,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,275) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,275) x common factors =5 x 1 = 5
LCM(155,275) = ( 155 × 275 ) / 5
LCM(155,275) = 42625 / 5
LCM(155,275) = 8525
Lets's calculate GCF of 42,6811
7 | 42, 6811 |
6, 973 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8525/7
Therefore the LCM of Fractions 155/42,275/6811 is 8525/7
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 6811
List of positive integer factors of 6811 that divides 6811 without a remainder.
1,7,49,139,973,6811
Greatest Common Factor
We found the factors 42,6811 . The biggest common factor number is the GCF number.
So the greatest common factor 42,6811 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 155/42, 275/6811?
Answer: LCM of Numerators as per given numbers 155/42, 275/6811 is
LCM of Numerators i.e. for 155,275 is 8525
GCF of denominators i.e. for 42,6811 is 7.
Thus, LCM of Fractions is 8525/7.Finally, LCM of Fractions for 155/42, 275/6811 is 8525/7.