Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 690/28, 386/472 quickly i.e. 133170/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 690/28, 386/472 is 133170/4.
LCM(690/28, 386/472) = 133170/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 690/28,386/472
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 690,386
Least Common Multiple of Numerators i.e. LCM of 690,386 is 133170.
GCF of Denominators means GCF of 28,472 as per the given fractions.
GCF of 28,472 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 690,386
2 | 690, 386 |
345, 193 |
∴ So the LCM of the given numbers is 2 x 345 x 193 = 133170
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 690,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,386) x common factors =2 x 1 = 2
LCM(690,386) = ( 690 × 386 ) / 2
LCM(690,386) = 266340 / 2
LCM(690,386) = 133170
Lets's calculate GCF of 28,472
2 | 28, 472 |
2 | 14, 236 |
7, 118 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133170/4
Therefore the LCM of Fractions 690/28,386/472 is 133170/4
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 28,472 . The biggest common factor number is the GCF number.
So the greatest common factor 28,472 is 4.
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 690/28, 386/472?
Answer: LCM of Numerators as per given numbers 690/28, 386/472 is
LCM of Numerators i.e. for 690,386 is 133170
GCF of denominators i.e. for 28,472 is 4.
Thus, LCM of Fractions is 133170/4.Finally, LCM of Fractions for 690/28, 386/472 is 133170/4.