Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 668/346, 840/326 quickly i.e. 70140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 668/346, 840/326 is 70140.
LCM(668/346, 840/326) = 70140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 668/346,840/326
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 668,840
Least Common Multiple of Numerators i.e. LCM of 668,840 is 140280.
GCF of Denominators means GCF of 346,326 as per the given fractions.
GCF of 346,326 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 668,840
2 | 668, 840 |
2 | 334, 420 |
167, 210 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 210 = 140280
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 668,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,840) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,840) x common factors =4 x 1 = 4
LCM(668,840) = ( 668 × 840 ) / 4
LCM(668,840) = 561120 / 4
LCM(668,840) = 140280
Lets's calculate GCF of 346,326
2 | 346, 326 |
173, 163 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140280/2
Therefore the LCM of Fractions 668/346,840/326 is 70140
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 346,326 . The biggest common factor number is the GCF number.
So the greatest common factor 346,326 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 668/346, 840/326?
Answer: LCM of Numerators as per given numbers 668/346, 840/326 is
LCM of Numerators i.e. for 668,840 is 140280
GCF of denominators i.e. for 346,326 is 2.
Thus, LCM of Fractions is 70140.Finally, LCM of Fractions for 668/346, 840/326 is 70140.