Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 218/68, 354/26, 711/956 quickly i.e. 4572441 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 218/68, 354/26, 711/956 is 4572441.
LCM(218/68, 354/26, 711/956) = 4572441
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 218/68,354/26,711/956
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 218,354,711
Least Common Multiple of Numerators i.e. LCM of 218,354,711 is 9144882.
GCF of Denominators means GCF of 68,26,956 as per the given fractions.
GCF of 68,26,956 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 218,354,711
2 | 218, 354, 711 |
3 | 109, 177, 711 |
109, 59, 237 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 59 x 237 = 9144882
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 218,354,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,354,711) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(218,354,711) x common factors =1 x 6 = 6
LCM(218,354,711) = ( 218 × 354 × 711 ) / 6
LCM(218,354,711) = 54869292 / 6
LCM(218,354,711) = 9144882
Lets's calculate GCF of 68,26,956
2 | 68, 26, 956 |
34, 13, 478 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9144882/2
Therefore the LCM of Fractions 218/68,354/26,711/956 is 4572441
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 68,26,956 . The biggest common factor number is the GCF number.
So the greatest common factor 68,26,956 is 2.
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 218/68, 354/26, 711/956?
Answer: LCM of Numerators as per given numbers 218/68, 354/26, 711/956 is
LCM of Numerators i.e. for 218,354,711 is 9144882
GCF of denominators i.e. for 68,26,956 is 2.
Thus, LCM of Fractions is 4572441.Finally, LCM of Fractions for 218/68, 354/26, 711/956 is 4572441.