Least Common Multiple of 431/56, 259/51, 249/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 431/56, 259/51, 249/707 quickly i.e. 27795621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/56, 259/51, 249/707 is 27795621.

LCM(431/56, 259/51, 249/707) = 27795621

LCM of 431/56, 259/51, 249/707

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 431/56,259/51,249/707

Given numbers are 431/56,259/51,249/707

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 431,259,249

Least Common Multiple of Numerators i.e. LCM of 431,259,249 is 27795621.

GCF of Denominators means GCF of 56,51,707 as per the given fractions.

GCF of 56,51,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,259,249

LCM of Fractions 431/56,259/51,249/707 is 27795621

Given numbers has no common factors except 1. So, there LCM is their product i.e 27795621

Least Common Multiple of 431,259,249 with GCF Formula

Least Common Multiple of 431,259,249 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 431,259,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,259,249) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(431,259,249) x common factors =1 x 1 = 1

LCM(431,259,249) = ( 431 × 259 × 249 ) / 1

LCM(431,259,249) = 27795621 / 1

LCM(431,259,249) = 27795621


Lets's calculate GCF of 56,51,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27795621/1

Therefore the LCM of Fractions 431/56,259/51,249/707 is 27795621

Greatest Common Factor of 56,51,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,51,707 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

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 56,51,707 . The biggest common factor number is the GCF number.
So the greatest common factor 56,51,707 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 431/56, 259/51, 249/707

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 431/56, 259/51, 249/707?

Answer: LCM of Numerators as per given numbers 431/56, 259/51, 249/707 is

LCM of Numerators i.e. for 431,259,249 is 27795621

GCF of denominators i.e. for 56,51,707 is 1.

Thus, LCM of Fractions is 27795621.Finally, LCM of Fractions for 431/56, 259/51, 249/707 is 27795621.