Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 781/248, 918/675, 941/634 quickly i.e. 674657478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 781/248, 918/675, 941/634 is 674657478.
LCM(781/248, 918/675, 941/634) = 674657478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 781/248,918/675,941/634
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 781,918,941
Least Common Multiple of Numerators i.e. LCM of 781,918,941 is 674657478.
GCF of Denominators means GCF of 248,675,634 as per the given fractions.
GCF of 248,675,634 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 781,918,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 674657478
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 781,918,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,918,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,918,941) x common factors =1 x 1 = 1
LCM(781,918,941) = ( 781 × 918 × 941 ) / 1
LCM(781,918,941) = 674657478 / 1
LCM(781,918,941) = 674657478
Lets's calculate GCF of 248,675,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674657478/1
Therefore the LCM of Fractions 781/248,918/675,941/634 is 674657478
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 248,675,634 . The biggest common factor number is the GCF number.
So the greatest common factor 248,675,634 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 781/248, 918/675, 941/634?
Answer: LCM of Numerators as per given numbers 781/248, 918/675, 941/634 is
LCM of Numerators i.e. for 781,918,941 is 674657478
GCF of denominators i.e. for 248,675,634 is 1.
Thus, LCM of Fractions is 674657478.Finally, LCM of Fractions for 781/248, 918/675, 941/634 is 674657478.