Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/672, 676/486, 867/248 quickly i.e. 3223506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/672, 676/486, 867/248 is 3223506.
LCM(44/672, 676/486, 867/248) = 3223506
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/672,676/486,867/248
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 44,676,867
Least Common Multiple of Numerators i.e. LCM of 44,676,867 is 6447012.
GCF of Denominators means GCF of 672,486,248 as per the given fractions.
GCF of 672,486,248 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,676,867
2 | 44, 676, 867 |
2 | 22, 338, 867 |
11, 169, 867 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 169 x 867 = 6447012
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 44,676,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,676,867) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,676,867) x common factors =1 x 4 = 4
LCM(44,676,867) = ( 44 × 676 × 867 ) / 4
LCM(44,676,867) = 25788048 / 4
LCM(44,676,867) = 6447012
Lets's calculate GCF of 672,486,248
2 | 672, 486, 248 |
336, 243, 124 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6447012/2
Therefore the LCM of Fractions 44/672,676/486,867/248 is 3223506
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 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 672,486,248 . The biggest common factor number is the GCF number.
So the greatest common factor 672,486,248 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 44/672, 676/486, 867/248?
Answer: LCM of Numerators as per given numbers 44/672, 676/486, 867/248 is
LCM of Numerators i.e. for 44,676,867 is 6447012
GCF of denominators i.e. for 672,486,248 is 2.
Thus, LCM of Fractions is 3223506.Finally, LCM of Fractions for 44/672, 676/486, 867/248 is 3223506.