Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 511/278, 1510/278 quickly i.e. 771610/278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 511/278, 1510/278 is 771610/278.
LCM(511/278, 1510/278) = 771610/278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 511/278,1510/278
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 511,1510
Least Common Multiple of Numerators i.e. LCM of 511,1510 is 771610.
GCF of Denominators means GCF of 278,278 as per the given fractions.
GCF of 278,278 is 278 as it is the largest common factor for these numbers.
Lets's calculate LCM of 511,1510
Given numbers has no common factors except 1. So, there LCM is their product i.e 771610
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 511,1510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,1510) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,1510) x common factors =1 x 1 = 1
LCM(511,1510) = ( 511 × 1510 ) / 1
LCM(511,1510) = 771610 / 1
LCM(511,1510) = 771610
Lets's calculate GCF of 278,278
2 | 278, 278 |
139 | 139, 139 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 139 = 278
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 771610/278
Therefore the LCM of Fractions 511/278,1510/278 is 771610/278
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
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 278,278 . The biggest common factor number is the GCF number.
So the greatest common factor 278,278 is 278.
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 511/278, 1510/278?
Answer: LCM of Numerators as per given numbers 511/278, 1510/278 is
LCM of Numerators i.e. for 511,1510 is 771610
GCF of denominators i.e. for 278,278 is 278.
Thus, LCM of Fractions is 771610/278.Finally, LCM of Fractions for 511/278, 1510/278 is 771610/278.