Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/161, 70/203, 772/209 quickly i.e. 1810340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/161, 70/203, 772/209 is 1810340.
LCM(67/161, 70/203, 772/209) = 1810340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/161,70/203,772/209
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 67,70,772
Least Common Multiple of Numerators i.e. LCM of 67,70,772 is 1810340.
GCF of Denominators means GCF of 161,203,209 as per the given fractions.
GCF of 161,203,209 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,70,772
2 | 67, 70, 772 |
67, 35, 386 |
∴ So the LCM of the given numbers is 2 x 67 x 35 x 386 = 1810340
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 67,70,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,70,772) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,70,772) x common factors =1 x 2 = 2
LCM(67,70,772) = ( 67 × 70 × 772 ) / 2
LCM(67,70,772) = 3620680 / 2
LCM(67,70,772) = 1810340
Lets's calculate GCF of 161,203,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1810340/1
Therefore the LCM of Fractions 67/161,70/203,772/209 is 1810340
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 161,203,209 . The biggest common factor number is the GCF number.
So the greatest common factor 161,203,209 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 67/161, 70/203, 772/209?
Answer: LCM of Numerators as per given numbers 67/161, 70/203, 772/209 is
LCM of Numerators i.e. for 67,70,772 is 1810340
GCF of denominators i.e. for 161,203,209 is 1.
Thus, LCM of Fractions is 1810340.Finally, LCM of Fractions for 67/161, 70/203, 772/209 is 1810340.