Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 623/78, 1150/202 quickly i.e. 358225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 623/78, 1150/202 is 358225.
LCM(623/78, 1150/202) = 358225
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 623/78,1150/202
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 623,1150
Least Common Multiple of Numerators i.e. LCM of 623,1150 is 716450.
GCF of Denominators means GCF of 78,202 as per the given fractions.
GCF of 78,202 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 623,1150
Given numbers has no common factors except 1. So, there LCM is their product i.e 716450
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 623,1150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,1150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,1150) x common factors =1 x 1 = 1
LCM(623,1150) = ( 623 × 1150 ) / 1
LCM(623,1150) = 716450 / 1
LCM(623,1150) = 716450
Lets's calculate GCF of 78,202
2 | 78, 202 |
39, 101 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 716450/2
Therefore the LCM of Fractions 623/78,1150/202 is 358225
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 78,202 . The biggest common factor number is the GCF number.
So the greatest common factor 78,202 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 623/78, 1150/202?
Answer: LCM of Numerators as per given numbers 623/78, 1150/202 is
LCM of Numerators i.e. for 623,1150 is 716450
GCF of denominators i.e. for 78,202 is 2.
Thus, LCM of Fractions is 358225.Finally, LCM of Fractions for 623/78, 1150/202 is 358225.