Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 950/254, 231/375, 160/748 quickly i.e. 3511200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 950/254, 231/375, 160/748 is 3511200.
LCM(950/254, 231/375, 160/748) = 3511200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 950/254,231/375,160/748
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 950,231,160
Least Common Multiple of Numerators i.e. LCM of 950,231,160 is 3511200.
GCF of Denominators means GCF of 254,375,748 as per the given fractions.
GCF of 254,375,748 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 950,231,160
2 | 950, 231, 160 |
5 | 475, 231, 80 |
95, 231, 16 |
∴ So the LCM of the given numbers is 2 x 5 x 95 x 231 x 16 = 3511200
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 950,231,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,231,160) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(950,231,160) x common factors =1 x 10 = 10
LCM(950,231,160) = ( 950 × 231 × 160 ) / 10
LCM(950,231,160) = 35112000 / 10
LCM(950,231,160) = 3511200
Lets's calculate GCF of 254,375,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3511200/1
Therefore the LCM of Fractions 950/254,231/375,160/748 is 3511200
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 254,375,748 . The biggest common factor number is the GCF number.
So the greatest common factor 254,375,748 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 950/254, 231/375, 160/748?
Answer: LCM of Numerators as per given numbers 950/254, 231/375, 160/748 is
LCM of Numerators i.e. for 950,231,160 is 3511200
GCF of denominators i.e. for 254,375,748 is 1.
Thus, LCM of Fractions is 3511200.Finally, LCM of Fractions for 950/254, 231/375, 160/748 is 3511200.