Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 151/61, 444/32, 112/368 quickly i.e. 1877232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 151/61, 444/32, 112/368 is 1877232.
LCM(151/61, 444/32, 112/368) = 1877232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 151/61,444/32,112/368
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 151,444,112
Least Common Multiple of Numerators i.e. LCM of 151,444,112 is 1877232.
GCF of Denominators means GCF of 61,32,368 as per the given fractions.
GCF of 61,32,368 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 151,444,112
2 | 151, 444, 112 |
2 | 151, 222, 56 |
151, 111, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 111 x 28 = 1877232
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 151,444,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,444,112) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(151,444,112) x common factors =1 x 4 = 4
LCM(151,444,112) = ( 151 × 444 × 112 ) / 4
LCM(151,444,112) = 7508928 / 4
LCM(151,444,112) = 1877232
Lets's calculate GCF of 61,32,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1877232/1
Therefore the LCM of Fractions 151/61,444/32,112/368 is 1877232
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 61,32,368 . The biggest common factor number is the GCF number.
So the greatest common factor 61,32,368 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 151/61, 444/32, 112/368?
Answer: LCM of Numerators as per given numbers 151/61, 444/32, 112/368 is
LCM of Numerators i.e. for 151,444,112 is 1877232
GCF of denominators i.e. for 61,32,368 is 1.
Thus, LCM of Fractions is 1877232.Finally, LCM of Fractions for 151/61, 444/32, 112/368 is 1877232.