Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1750/489, 4206/1253 quickly i.e. 3680250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1750/489, 4206/1253 is 3680250.
LCM(1750/489, 4206/1253) = 3680250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1750/489,4206/1253
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 1750,4206
Least Common Multiple of Numerators i.e. LCM of 1750,4206 is 3680250.
GCF of Denominators means GCF of 489,1253 as per the given fractions.
GCF of 489,1253 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1750,4206
2 | 1750, 4206 |
875, 2103 |
∴ So the LCM of the given numbers is 2 x 875 x 2103 = 3680250
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 1750,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1750,4206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1750,4206) x common factors =2 x 1 = 2
LCM(1750,4206) = ( 1750 × 4206 ) / 2
LCM(1750,4206) = 7360500 / 2
LCM(1750,4206) = 3680250
Lets's calculate GCF of 489,1253
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3680250/1
Therefore the LCM of Fractions 1750/489,4206/1253 is 3680250
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1,7,179,1253
Greatest Common Factor
We found the factors 489,1253 . The biggest common factor number is the GCF number.
So the greatest common factor 489,1253 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 1750/489, 4206/1253?
Answer: LCM of Numerators as per given numbers 1750/489, 4206/1253 is
LCM of Numerators i.e. for 1750,4206 is 3680250
GCF of denominators i.e. for 489,1253 is 1.
Thus, LCM of Fractions is 3680250.Finally, LCM of Fractions for 1750/489, 4206/1253 is 3680250.