Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5292/696, 7902/150 quickly i.e. 387198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5292/696, 7902/150 is 387198.
LCM(5292/696, 7902/150) = 387198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5292/696,7902/150
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 5292,7902
Least Common Multiple of Numerators i.e. LCM of 5292,7902 is 2323188.
GCF of Denominators means GCF of 696,150 as per the given fractions.
GCF of 696,150 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5292,7902
2 | 5292, 7902 |
3 | 2646, 3951 |
3 | 882, 1317 |
294, 439 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 294 x 439 = 2323188
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 5292,7902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5292,7902) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(5292,7902) x common factors =18 x 1 = 18
LCM(5292,7902) = ( 5292 × 7902 ) / 18
LCM(5292,7902) = 41817384 / 18
LCM(5292,7902) = 2323188
Lets's calculate GCF of 696,150
2 | 696, 150 |
3 | 348, 75 |
116, 25 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2323188/6
Therefore the LCM of Fractions 5292/696,7902/150 is 387198
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 696,150 . The biggest common factor number is the GCF number.
So the greatest common factor 696,150 is 6.
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 5292/696, 7902/150?
Answer: LCM of Numerators as per given numbers 5292/696, 7902/150 is
LCM of Numerators i.e. for 5292,7902 is 2323188
GCF of denominators i.e. for 696,150 is 6.
Thus, LCM of Fractions is 387198.Finally, LCM of Fractions for 5292/696, 7902/150 is 387198.