Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/632, 75/160, 359/276 quickly i.e. 376950/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/632, 75/160, 359/276 is 376950/4.
LCM(42/632, 75/160, 359/276) = 376950/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/632,75/160,359/276
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 42,75,359
Least Common Multiple of Numerators i.e. LCM of 42,75,359 is 376950.
GCF of Denominators means GCF of 632,160,276 as per the given fractions.
GCF of 632,160,276 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,75,359
3 | 42, 75, 359 |
14, 25, 359 |
∴ So the LCM of the given numbers is 3 x 14 x 25 x 359 = 376950
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 42,75,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,75,359) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(42,75,359) x common factors =1 x 3 = 3
LCM(42,75,359) = ( 42 × 75 × 359 ) / 3
LCM(42,75,359) = 1130850 / 3
LCM(42,75,359) = 376950
Lets's calculate GCF of 632,160,276
2 | 632, 160, 276 |
2 | 316, 80, 138 |
158, 40, 69 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376950/4
Therefore the LCM of Fractions 42/632,75/160,359/276 is 376950/4
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
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
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 632,160,276 . The biggest common factor number is the GCF number.
So the greatest common factor 632,160,276 is 4.
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 42/632, 75/160, 359/276?
Answer: LCM of Numerators as per given numbers 42/632, 75/160, 359/276 is
LCM of Numerators i.e. for 42,75,359 is 376950
GCF of denominators i.e. for 632,160,276 is 4.
Thus, LCM of Fractions is 376950/4.Finally, LCM of Fractions for 42/632, 75/160, 359/276 is 376950/4.