Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 402/672, 9445/166 quickly i.e. 1898445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 402/672, 9445/166 is 1898445.
LCM(402/672, 9445/166) = 1898445
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 402/672,9445/166
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 402,9445
Least Common Multiple of Numerators i.e. LCM of 402,9445 is 3796890.
GCF of Denominators means GCF of 672,166 as per the given fractions.
GCF of 672,166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 402,9445
Given numbers has no common factors except 1. So, there LCM is their product i.e 3796890
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 402,9445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,9445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,9445) x common factors =1 x 1 = 1
LCM(402,9445) = ( 402 × 9445 ) / 1
LCM(402,9445) = 3796890 / 1
LCM(402,9445) = 3796890
Lets's calculate GCF of 672,166
2 | 672, 166 |
336, 83 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3796890/2
Therefore the LCM of Fractions 402/672,9445/166 is 1898445
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 672,166 . The biggest common factor number is the GCF number.
So the greatest common factor 672,166 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 402/672, 9445/166?
Answer: LCM of Numerators as per given numbers 402/672, 9445/166 is
LCM of Numerators i.e. for 402,9445 is 3796890
GCF of denominators i.e. for 672,166 is 2.
Thus, LCM of Fractions is 1898445.Finally, LCM of Fractions for 402/672, 9445/166 is 1898445.