Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/981, 54/506, 667/364 quickly i.e. 612306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/981, 54/506, 667/364 is 612306.
LCM(51/981, 54/506, 667/364) = 612306
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/981,54/506,667/364
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 51,54,667
Least Common Multiple of Numerators i.e. LCM of 51,54,667 is 612306.
GCF of Denominators means GCF of 981,506,364 as per the given fractions.
GCF of 981,506,364 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,54,667
3 | 51, 54, 667 |
17, 18, 667 |
∴ So the LCM of the given numbers is 3 x 17 x 18 x 667 = 612306
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 51,54,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,54,667) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,54,667) x common factors =1 x 3 = 3
LCM(51,54,667) = ( 51 × 54 × 667 ) / 3
LCM(51,54,667) = 1836918 / 3
LCM(51,54,667) = 612306
Lets's calculate GCF of 981,506,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612306/1
Therefore the LCM of Fractions 51/981,54/506,667/364 is 612306
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 981,506,364 . The biggest common factor number is the GCF number.
So the greatest common factor 981,506,364 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 51/981, 54/506, 667/364?
Answer: LCM of Numerators as per given numbers 51/981, 54/506, 667/364 is
LCM of Numerators i.e. for 51,54,667 is 612306
GCF of denominators i.e. for 981,506,364 is 1.
Thus, LCM of Fractions is 612306.Finally, LCM of Fractions for 51/981, 54/506, 667/364 is 612306.