Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/211, 533/555, 672/948 quickly i.e. 3223584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/211, 533/555, 672/948 is 3223584.
LCM(54/211, 533/555, 672/948) = 3223584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/211,533/555,672/948
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 54,533,672
Least Common Multiple of Numerators i.e. LCM of 54,533,672 is 3223584.
GCF of Denominators means GCF of 211,555,948 as per the given fractions.
GCF of 211,555,948 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,533,672
2 | 54, 533, 672 |
3 | 27, 533, 336 |
9, 533, 112 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 533 x 112 = 3223584
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 54,533,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,533,672) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(54,533,672) x common factors =1 x 6 = 6
LCM(54,533,672) = ( 54 × 533 × 672 ) / 6
LCM(54,533,672) = 19341504 / 6
LCM(54,533,672) = 3223584
Lets's calculate GCF of 211,555,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3223584/1
Therefore the LCM of Fractions 54/211,533/555,672/948 is 3223584
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 211,555,948 . The biggest common factor number is the GCF number.
So the greatest common factor 211,555,948 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 54/211, 533/555, 672/948?
Answer: LCM of Numerators as per given numbers 54/211, 533/555, 672/948 is
LCM of Numerators i.e. for 54,533,672 is 3223584
GCF of denominators i.e. for 211,555,948 is 1.
Thus, LCM of Fractions is 3223584.Finally, LCM of Fractions for 54/211, 533/555, 672/948 is 3223584.