Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 218/42, 755/25, 904/374 quickly i.e. 74394680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 218/42, 755/25, 904/374 is 74394680.
LCM(218/42, 755/25, 904/374) = 74394680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 218/42,755/25,904/374
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 218,755,904
Least Common Multiple of Numerators i.e. LCM of 218,755,904 is 74394680.
GCF of Denominators means GCF of 42,25,374 as per the given fractions.
GCF of 42,25,374 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 218,755,904
2 | 218, 755, 904 |
109, 755, 452 |
∴ So the LCM of the given numbers is 2 x 109 x 755 x 452 = 74394680
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 218,755,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,755,904) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(218,755,904) x common factors =1 x 2 = 2
LCM(218,755,904) = ( 218 × 755 × 904 ) / 2
LCM(218,755,904) = 148789360 / 2
LCM(218,755,904) = 74394680
Lets's calculate GCF of 42,25,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74394680/1
Therefore the LCM of Fractions 218/42,755/25,904/374 is 74394680
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 42,25,374 . The biggest common factor number is the GCF number.
So the greatest common factor 42,25,374 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 218/42, 755/25, 904/374?
Answer: LCM of Numerators as per given numbers 218/42, 755/25, 904/374 is
LCM of Numerators i.e. for 218,755,904 is 74394680
GCF of denominators i.e. for 42,25,374 is 1.
Thus, LCM of Fractions is 74394680.Finally, LCM of Fractions for 218/42, 755/25, 904/374 is 74394680.