Least Common Multiple of 394/57, 319/51, 451/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/57, 319/51, 451/707 quickly i.e. 5153126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/57, 319/51, 451/707 is 5153126.

LCM(394/57, 319/51, 451/707) = 5153126

LCM of 394/57, 319/51, 451/707

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 394/57,319/51,451/707

Given numbers are 394/57,319/51,451/707

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 394,319,451

Least Common Multiple of Numerators i.e. LCM of 394,319,451 is 5153126.

GCF of Denominators means GCF of 57,51,707 as per the given fractions.

GCF of 57,51,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,319,451

LCM of Fractions 394/57,319/51,451/707 is 5153126

11 394, 319, 451
394, 29, 41

∴ So the LCM of the given numbers is 11 x 394 x 29 x 41 = 5153126

Least Common Multiple of 394,319,451 with GCF Formula

Least Common Multiple of 394,319,451 with GCF Formula

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 394,319,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,319,451) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(394,319,451) x common factors =1 x 11 = 11

LCM(394,319,451) = ( 394 × 319 × 451 ) / 11

LCM(394,319,451) = 56684386 / 11

LCM(394,319,451) = 5153126


Lets's calculate GCF of 57,51,707

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5153126/1

Therefore the LCM of Fractions 394/57,319/51,451/707 is 5153126

Greatest Common Factor of 57,51,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,51,707 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 57,51,707 . The biggest common factor number is the GCF number.
So the greatest common factor 57,51,707 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 394/57, 319/51, 451/707

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 394/57, 319/51, 451/707?

Answer: LCM of Numerators as per given numbers 394/57, 319/51, 451/707 is

LCM of Numerators i.e. for 394,319,451 is 5153126

GCF of denominators i.e. for 57,51,707 is 1.

Thus, LCM of Fractions is 5153126.Finally, LCM of Fractions for 394/57, 319/51, 451/707 is 5153126.