Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 173/348, 952/399, 386/754 quickly i.e. 31786328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 173/348, 952/399, 386/754 is 31786328.
LCM(173/348, 952/399, 386/754) = 31786328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 173/348,952/399,386/754
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 173,952,386
Least Common Multiple of Numerators i.e. LCM of 173,952,386 is 31786328.
GCF of Denominators means GCF of 348,399,754 as per the given fractions.
GCF of 348,399,754 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 173,952,386
2 | 173, 952, 386 |
173, 476, 193 |
∴ So the LCM of the given numbers is 2 x 173 x 476 x 193 = 31786328
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 173,952,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,952,386) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(173,952,386) x common factors =1 x 2 = 2
LCM(173,952,386) = ( 173 × 952 × 386 ) / 2
LCM(173,952,386) = 63572656 / 2
LCM(173,952,386) = 31786328
Lets's calculate GCF of 348,399,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31786328/1
Therefore the LCM of Fractions 173/348,952/399,386/754 is 31786328
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 348,399,754 . The biggest common factor number is the GCF number.
So the greatest common factor 348,399,754 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 173/348, 952/399, 386/754?
Answer: LCM of Numerators as per given numbers 173/348, 952/399, 386/754 is
LCM of Numerators i.e. for 173,952,386 is 31786328
GCF of denominators i.e. for 348,399,754 is 1.
Thus, LCM of Fractions is 31786328.Finally, LCM of Fractions for 173/348, 952/399, 386/754 is 31786328.