Least Common Multiple of 6889/688, 4457/7182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6889/688, 4457/7182 quickly i.e. 30704273/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6889/688, 4457/7182 is 30704273/2.

LCM(6889/688, 4457/7182) = 30704273/2

LCM of 6889/688, 4457/7182

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 6889/688,4457/7182

Given numbers are 6889/688,4457/7182

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 6889,4457

Least Common Multiple of Numerators i.e. LCM of 6889,4457 is 30704273.

GCF of Denominators means GCF of 688,7182 as per the given fractions.

GCF of 688,7182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6889,4457

LCM of Fractions 6889/688,4457/7182 is 30704273/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 30704273

Least Common Multiple of 6889,4457 with GCF Formula

Least Common Multiple of 6889,4457 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 6889,4457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6889,4457) = 1

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

GCF(6889,4457) x common factors =1 x 1 = 1

LCM(6889,4457) = ( 6889 × 4457 ) / 1

LCM(6889,4457) = 30704273 / 1

LCM(6889,4457) = 30704273


Lets's calculate GCF of 688,7182

2 688, 7182
344, 3591

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30704273/2

Therefore the LCM of Fractions 6889/688,4457/7182 is 30704273/2

Greatest Common Factor of 688,7182 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,7182 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 7182

List of positive integer factors of 7182 that divides 7182 without a remainder.

1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182

Greatest Common Factor

We found the factors 688,7182 . The biggest common factor number is the GCF number.
So the greatest common factor 688,7182 is 2.


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 6889/688, 4457/7182

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 6889/688, 4457/7182?

Answer: LCM of Numerators as per given numbers 6889/688, 4457/7182 is

LCM of Numerators i.e. for 6889,4457 is 30704273

GCF of denominators i.e. for 688,7182 is 2.

Thus, LCM of Fractions is 30704273/2.Finally, LCM of Fractions for 6889/688, 4457/7182 is 30704273/2.