Least Common Multiple of 318/807, 271/951, 969/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/807, 271/951, 969/944 quickly i.e. 27835494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/807, 271/951, 969/944 is 27835494.

LCM(318/807, 271/951, 969/944) = 27835494

LCM of 318/807, 271/951, 969/944

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 318/807,271/951,969/944

Given numbers are 318/807,271/951,969/944

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 318,271,969

Least Common Multiple of Numerators i.e. LCM of 318,271,969 is 27835494.

GCF of Denominators means GCF of 807,951,944 as per the given fractions.

GCF of 807,951,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,271,969

LCM of Fractions 318/807,271/951,969/944 is 27835494

3 318, 271, 969
106, 271, 323

∴ So the LCM of the given numbers is 3 x 106 x 271 x 323 = 27835494

Least Common Multiple of 318,271,969 with GCF Formula

Least Common Multiple of 318,271,969 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 318,271,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,271,969) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(318,271,969) x common factors =1 x 3 = 3

LCM(318,271,969) = ( 318 × 271 × 969 ) / 3

LCM(318,271,969) = 83506482 / 3

LCM(318,271,969) = 27835494


Lets's calculate GCF of 807,951,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27835494/1

Therefore the LCM of Fractions 318/807,271/951,969/944 is 27835494

Greatest Common Factor of 807,951,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,951,944 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 807,951,944 . The biggest common factor number is the GCF number.
So the greatest common factor 807,951,944 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 318/807, 271/951, 969/944

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 318/807, 271/951, 969/944?

Answer: LCM of Numerators as per given numbers 318/807, 271/951, 969/944 is

LCM of Numerators i.e. for 318,271,969 is 27835494

GCF of denominators i.e. for 807,951,944 is 1.

Thus, LCM of Fractions is 27835494.Finally, LCM of Fractions for 318/807, 271/951, 969/944 is 27835494.