Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/710, 24/243, 51/548 quickly i.e. 408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/710, 24/243, 51/548 is 408.
LCM(2/710, 24/243, 51/548) = 408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/710,24/243,51/548
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 2,24,51
Least Common Multiple of Numerators i.e. LCM of 2,24,51 is 408.
GCF of Denominators means GCF of 710,243,548 as per the given fractions.
GCF of 710,243,548 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,24,51
2 | 2, 24, 51 |
3 | 1, 12, 51 |
1, 4, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 4 x 17 = 408
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 2,24,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,24,51) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(2,24,51) x common factors =1 x 6 = 6
LCM(2,24,51) = ( 2 × 24 × 51 ) / 6
LCM(2,24,51) = 2448 / 6
LCM(2,24,51) = 408
Lets's calculate GCF of 710,243,548
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408/1
Therefore the LCM of Fractions 2/710,24/243,51/548 is 408
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 710,243,548 . The biggest common factor number is the GCF number.
So the greatest common factor 710,243,548 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 2/710, 24/243, 51/548?
Answer: LCM of Numerators as per given numbers 2/710, 24/243, 51/548 is
LCM of Numerators i.e. for 2,24,51 is 408
GCF of denominators i.e. for 710,243,548 is 1.
Thus, LCM of Fractions is 408.Finally, LCM of Fractions for 2/710, 24/243, 51/548 is 408.