Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/948, 372/672, 396/211 quickly i.e. 12276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/948, 372/672, 396/211 is 12276.
LCM(11/948, 372/672, 396/211) = 12276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/948,372/672,396/211
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 11,372,396
Least Common Multiple of Numerators i.e. LCM of 11,372,396 is 12276.
GCF of Denominators means GCF of 948,672,211 as per the given fractions.
GCF of 948,672,211 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,372,396
2 | 11, 372, 396 |
2 | 11, 186, 198 |
3 | 11, 93, 99 |
11 | 11, 31, 33 |
1, 31, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 31 x 3 = 12276
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 11,372,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,372,396) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(11,372,396) x common factors =1 x 132 = 132
LCM(11,372,396) = ( 11 × 372 × 396 ) / 132
LCM(11,372,396) = 1620432 / 132
LCM(11,372,396) = 12276
Lets's calculate GCF of 948,672,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12276/1
Therefore the LCM of Fractions 11/948,372/672,396/211 is 12276
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
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors 948,672,211 . The biggest common factor number is the GCF number.
So the greatest common factor 948,672,211 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 11/948, 372/672, 396/211?
Answer: LCM of Numerators as per given numbers 11/948, 372/672, 396/211 is
LCM of Numerators i.e. for 11,372,396 is 12276
GCF of denominators i.e. for 948,672,211 is 1.
Thus, LCM of Fractions is 12276.Finally, LCM of Fractions for 11/948, 372/672, 396/211 is 12276.