Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/126, 829/358, 812/838 quickly i.e. 19184718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/126, 829/358, 812/838 is 19184718.
LCM(57/126, 829/358, 812/838) = 19184718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/126,829/358,812/838
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 57,829,812
Least Common Multiple of Numerators i.e. LCM of 57,829,812 is 38369436.
GCF of Denominators means GCF of 126,358,838 as per the given fractions.
GCF of 126,358,838 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,829,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 38369436
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 57,829,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,829,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,829,812) x common factors =1 x 1 = 1
LCM(57,829,812) = ( 57 × 829 × 812 ) / 1
LCM(57,829,812) = 38369436 / 1
LCM(57,829,812) = 38369436
Lets's calculate GCF of 126,358,838
2 | 126, 358, 838 |
63, 179, 419 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38369436/2
Therefore the LCM of Fractions 57/126,829/358,812/838 is 19184718
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 126,358,838 . The biggest common factor number is the GCF number.
So the greatest common factor 126,358,838 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 57/126, 829/358, 812/838?
Answer: LCM of Numerators as per given numbers 57/126, 829/358, 812/838 is
LCM of Numerators i.e. for 57,829,812 is 38369436
GCF of denominators i.e. for 126,358,838 is 2.
Thus, LCM of Fractions is 19184718.Finally, LCM of Fractions for 57/126, 829/358, 812/838 is 19184718.