Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7044/12, 4178/658 quickly i.e. 7357458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7044/12, 4178/658 is 7357458.
LCM(7044/12, 4178/658) = 7357458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7044/12,4178/658
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 7044,4178
Least Common Multiple of Numerators i.e. LCM of 7044,4178 is 14714916.
GCF of Denominators means GCF of 12,658 as per the given fractions.
GCF of 12,658 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7044,4178
2 | 7044, 4178 |
3522, 2089 |
∴ So the LCM of the given numbers is 2 x 3522 x 2089 = 14714916
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 7044,4178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7044,4178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7044,4178) x common factors =2 x 1 = 2
LCM(7044,4178) = ( 7044 × 4178 ) / 2
LCM(7044,4178) = 29429832 / 2
LCM(7044,4178) = 14714916
Lets's calculate GCF of 12,658
2 | 12, 658 |
6, 329 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14714916/2
Therefore the LCM of Fractions 7044/12,4178/658 is 7357458
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 12,658 . The biggest common factor number is the GCF number.
So the greatest common factor 12,658 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 7044/12, 4178/658?
Answer: LCM of Numerators as per given numbers 7044/12, 4178/658 is
LCM of Numerators i.e. for 7044,4178 is 14714916
GCF of denominators i.e. for 12,658 is 2.
Thus, LCM of Fractions is 7357458.Finally, LCM of Fractions for 7044/12, 4178/658 is 7357458.