Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/746, 4222/1687 quickly i.e. 206878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/746, 4222/1687 is 206878.
LCM(98/746, 4222/1687) = 206878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/746,4222/1687
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 98,4222
Least Common Multiple of Numerators i.e. LCM of 98,4222 is 206878.
GCF of Denominators means GCF of 746,1687 as per the given fractions.
GCF of 746,1687 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,4222
2 | 98, 4222 |
49, 2111 |
∴ So the LCM of the given numbers is 2 x 49 x 2111 = 206878
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 98,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,4222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,4222) x common factors =2 x 1 = 2
LCM(98,4222) = ( 98 × 4222 ) / 2
LCM(98,4222) = 413756 / 2
LCM(98,4222) = 206878
Lets's calculate GCF of 746,1687
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206878/1
Therefore the LCM of Fractions 98/746,4222/1687 is 206878
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 1687
List of positive integer factors of 1687 that divides 1687 without a remainder.
1,7,241,1687
Greatest Common Factor
We found the factors 746,1687 . The biggest common factor number is the GCF number.
So the greatest common factor 746,1687 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 98/746, 4222/1687?
Answer: LCM of Numerators as per given numbers 98/746, 4222/1687 is
LCM of Numerators i.e. for 98,4222 is 206878
GCF of denominators i.e. for 746,1687 is 1.
Thus, LCM of Fractions is 206878.Finally, LCM of Fractions for 98/746, 4222/1687 is 206878.