Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 664/898, 178/306, 135/848 quickly i.e. 3988980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 664/898, 178/306, 135/848 is 3988980.
LCM(664/898, 178/306, 135/848) = 3988980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 664/898,178/306,135/848
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 664,178,135
Least Common Multiple of Numerators i.e. LCM of 664,178,135 is 7977960.
GCF of Denominators means GCF of 898,306,848 as per the given fractions.
GCF of 898,306,848 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 664,178,135
2 | 664, 178, 135 |
332, 89, 135 |
∴ So the LCM of the given numbers is 2 x 332 x 89 x 135 = 7977960
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 664,178,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,178,135) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(664,178,135) x common factors =1 x 2 = 2
LCM(664,178,135) = ( 664 × 178 × 135 ) / 2
LCM(664,178,135) = 15955920 / 2
LCM(664,178,135) = 7977960
Lets's calculate GCF of 898,306,848
2 | 898, 306, 848 |
449, 153, 424 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7977960/2
Therefore the LCM of Fractions 664/898,178/306,135/848 is 3988980
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 898,306,848 . The biggest common factor number is the GCF number.
So the greatest common factor 898,306,848 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 664/898, 178/306, 135/848?
Answer: LCM of Numerators as per given numbers 664/898, 178/306, 135/848 is
LCM of Numerators i.e. for 664,178,135 is 7977960
GCF of denominators i.e. for 898,306,848 is 2.
Thus, LCM of Fractions is 3988980.Finally, LCM of Fractions for 664/898, 178/306, 135/848 is 3988980.