Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 353/37, 189/14, 770/674 quickly i.e. 7338870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 353/37, 189/14, 770/674 is 7338870.
LCM(353/37, 189/14, 770/674) = 7338870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 353/37,189/14,770/674
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 353,189,770
Least Common Multiple of Numerators i.e. LCM of 353,189,770 is 7338870.
GCF of Denominators means GCF of 37,14,674 as per the given fractions.
GCF of 37,14,674 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 353,189,770
7 | 353, 189, 770 |
353, 27, 110 |
∴ So the LCM of the given numbers is 7 x 353 x 27 x 110 = 7338870
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 353,189,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,189,770) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(353,189,770) x common factors =1 x 7 = 7
LCM(353,189,770) = ( 353 × 189 × 770 ) / 7
LCM(353,189,770) = 51372090 / 7
LCM(353,189,770) = 7338870
Lets's calculate GCF of 37,14,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7338870/1
Therefore the LCM of Fractions 353/37,189/14,770/674 is 7338870
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 37,14,674 . The biggest common factor number is the GCF number.
So the greatest common factor 37,14,674 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 353/37, 189/14, 770/674?
Answer: LCM of Numerators as per given numbers 353/37, 189/14, 770/674 is
LCM of Numerators i.e. for 353,189,770 is 7338870
GCF of denominators i.e. for 37,14,674 is 1.
Thus, LCM of Fractions is 7338870.Finally, LCM of Fractions for 353/37, 189/14, 770/674 is 7338870.