Least Common Multiple of 7314/889, 4003/6831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7314/889, 4003/6831 quickly i.e. 29277942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7314/889, 4003/6831 is 29277942.

LCM(7314/889, 4003/6831) = 29277942

LCM of 7314/889, 4003/6831

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 7314/889,4003/6831

Given numbers are 7314/889,4003/6831

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 7314,4003

Least Common Multiple of Numerators i.e. LCM of 7314,4003 is 29277942.

GCF of Denominators means GCF of 889,6831 as per the given fractions.

GCF of 889,6831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7314,4003

LCM of Fractions 7314/889,4003/6831 is 29277942

Given numbers has no common factors except 1. So, there LCM is their product i.e 29277942

Least Common Multiple of 7314,4003 with GCF Formula

Least Common Multiple of 7314,4003 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 7314,4003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7314,4003) = 1

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

GCF(7314,4003) x common factors =1 x 1 = 1

LCM(7314,4003) = ( 7314 × 4003 ) / 1

LCM(7314,4003) = 29277942 / 1

LCM(7314,4003) = 29277942


Lets's calculate GCF of 889,6831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29277942/1

Therefore the LCM of Fractions 7314/889,4003/6831 is 29277942

Greatest Common Factor of 889,6831 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,6831 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 6831

List of positive integer factors of 6831 that divides 6831 without a remainder.

1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831

Greatest Common Factor

We found the factors 889,6831 . The biggest common factor number is the GCF number.
So the greatest common factor 889,6831 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 7314/889, 4003/6831

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 7314/889, 4003/6831?

Answer: LCM of Numerators as per given numbers 7314/889, 4003/6831 is

LCM of Numerators i.e. for 7314,4003 is 29277942

GCF of denominators i.e. for 889,6831 is 1.

Thus, LCM of Fractions is 29277942.Finally, LCM of Fractions for 7314/889, 4003/6831 is 29277942.