Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 938/731, 6125/160 quickly i.e. 820750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 938/731, 6125/160 is 820750.
LCM(938/731, 6125/160) = 820750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 938/731,6125/160
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 938,6125
Least Common Multiple of Numerators i.e. LCM of 938,6125 is 820750.
GCF of Denominators means GCF of 731,160 as per the given fractions.
GCF of 731,160 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 938,6125
7 | 938, 6125 |
134, 875 |
∴ So the LCM of the given numbers is 7 x 134 x 875 = 820750
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 938,6125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,6125) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(938,6125) x common factors =7 x 1 = 7
LCM(938,6125) = ( 938 × 6125 ) / 7
LCM(938,6125) = 5745250 / 7
LCM(938,6125) = 820750
Lets's calculate GCF of 731,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820750/1
Therefore the LCM of Fractions 938/731,6125/160 is 820750
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 731,160 . The biggest common factor number is the GCF number.
So the greatest common factor 731,160 is 1.
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 938/731, 6125/160?
Answer: LCM of Numerators as per given numbers 938/731, 6125/160 is
LCM of Numerators i.e. for 938,6125 is 820750
GCF of denominators i.e. for 731,160 is 1.
Thus, LCM of Fractions is 820750.Finally, LCM of Fractions for 938/731, 6125/160 is 820750.