Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/438, 36/602, 67/240 quickly i.e. 8442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/438, 36/602, 67/240 is 8442.
LCM(7/438, 36/602, 67/240) = 8442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/438,36/602,67/240
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 7,36,67
Least Common Multiple of Numerators i.e. LCM of 7,36,67 is 16884.
GCF of Denominators means GCF of 438,602,240 as per the given fractions.
GCF of 438,602,240 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,36,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 16884
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 7,36,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,36,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,36,67) x common factors =1 x 1 = 1
LCM(7,36,67) = ( 7 × 36 × 67 ) / 1
LCM(7,36,67) = 16884 / 1
LCM(7,36,67) = 16884
Lets's calculate GCF of 438,602,240
2 | 438, 602, 240 |
219, 301, 120 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16884/2
Therefore the LCM of Fractions 7/438,36/602,67/240 is 8442
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 438,602,240 . The biggest common factor number is the GCF number.
So the greatest common factor 438,602,240 is 2.
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 7/438, 36/602, 67/240?
Answer: LCM of Numerators as per given numbers 7/438, 36/602, 67/240 is
LCM of Numerators i.e. for 7,36,67 is 16884
GCF of denominators i.e. for 438,602,240 is 2.
Thus, LCM of Fractions is 8442.Finally, LCM of Fractions for 7/438, 36/602, 67/240 is 8442.