Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/953, 374/871, 305/421 quickly i.e. 684420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/953, 374/871, 305/421 is 684420.
LCM(12/953, 374/871, 305/421) = 684420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/953,374/871,305/421
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 12,374,305
Least Common Multiple of Numerators i.e. LCM of 12,374,305 is 684420.
GCF of Denominators means GCF of 953,871,421 as per the given fractions.
GCF of 953,871,421 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,374,305
2 | 12, 374, 305 |
6, 187, 305 |
∴ So the LCM of the given numbers is 2 x 6 x 187 x 305 = 684420
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 12,374,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,374,305) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(12,374,305) x common factors =1 x 2 = 2
LCM(12,374,305) = ( 12 × 374 × 305 ) / 2
LCM(12,374,305) = 1368840 / 2
LCM(12,374,305) = 684420
Lets's calculate GCF of 953,871,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684420/1
Therefore the LCM of Fractions 12/953,374/871,305/421 is 684420
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 953,871,421 . The biggest common factor number is the GCF number.
So the greatest common factor 953,871,421 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 12/953, 374/871, 305/421?
Answer: LCM of Numerators as per given numbers 12/953, 374/871, 305/421 is
LCM of Numerators i.e. for 12,374,305 is 684420
GCF of denominators i.e. for 953,871,421 is 1.
Thus, LCM of Fractions is 684420.Finally, LCM of Fractions for 12/953, 374/871, 305/421 is 684420.