Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7180/736, 8123/6778 quickly i.e. 29161570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7180/736, 8123/6778 is 29161570.
LCM(7180/736, 8123/6778) = 29161570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7180/736,8123/6778
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 7180,8123
Least Common Multiple of Numerators i.e. LCM of 7180,8123 is 58323140.
GCF of Denominators means GCF of 736,6778 as per the given fractions.
GCF of 736,6778 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7180,8123
Given numbers has no common factors except 1. So, there LCM is their product i.e 58323140
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 7180,8123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7180,8123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7180,8123) x common factors =1 x 1 = 1
LCM(7180,8123) = ( 7180 × 8123 ) / 1
LCM(7180,8123) = 58323140 / 1
LCM(7180,8123) = 58323140
Lets's calculate GCF of 736,6778
2 | 736, 6778 |
368, 3389 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58323140/2
Therefore the LCM of Fractions 7180/736,8123/6778 is 29161570
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 6778
List of positive integer factors of 6778 that divides 6778 without a remainder.
1,2,3389,6778
Greatest Common Factor
We found the factors 736,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 736,6778 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 7180/736, 8123/6778?
Answer: LCM of Numerators as per given numbers 7180/736, 8123/6778 is
LCM of Numerators i.e. for 7180,8123 is 58323140
GCF of denominators i.e. for 736,6778 is 2.
Thus, LCM of Fractions is 29161570.Finally, LCM of Fractions for 7180/736, 8123/6778 is 29161570.