Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/77, 84/81, 471/351 quickly i.e. 65940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/77, 84/81, 471/351 is 65940.
LCM(10/77, 84/81, 471/351) = 65940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/77,84/81,471/351
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 10,84,471
Least Common Multiple of Numerators i.e. LCM of 10,84,471 is 65940.
GCF of Denominators means GCF of 77,81,351 as per the given fractions.
GCF of 77,81,351 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,84,471
2 | 10, 84, 471 |
3 | 5, 42, 471 |
5, 14, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 157 = 65940
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 10,84,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,84,471) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(10,84,471) x common factors =1 x 6 = 6
LCM(10,84,471) = ( 10 × 84 × 471 ) / 6
LCM(10,84,471) = 395640 / 6
LCM(10,84,471) = 65940
Lets's calculate GCF of 77,81,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65940/1
Therefore the LCM of Fractions 10/77,84/81,471/351 is 65940
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 77,81,351 . The biggest common factor number is the GCF number.
So the greatest common factor 77,81,351 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 10/77, 84/81, 471/351?
Answer: LCM of Numerators as per given numbers 10/77, 84/81, 471/351 is
LCM of Numerators i.e. for 10,84,471 is 65940
GCF of denominators i.e. for 77,81,351 is 1.
Thus, LCM of Fractions is 65940.Finally, LCM of Fractions for 10/77, 84/81, 471/351 is 65940.