Least Common Multiple of 68/319, 5705/6627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/319, 5705/6627 quickly i.e. 387940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/319, 5705/6627 is 387940.

LCM(68/319, 5705/6627) = 387940

LCM of 68/319, 5705/6627

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 68/319,5705/6627

Given numbers are 68/319,5705/6627

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 68,5705

Least Common Multiple of Numerators i.e. LCM of 68,5705 is 387940.

GCF of Denominators means GCF of 319,6627 as per the given fractions.

GCF of 319,6627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,5705

LCM of Fractions 68/319,5705/6627 is 387940

Given numbers has no common factors except 1. So, there LCM is their product i.e 387940

Least Common Multiple of 68,5705 with GCF Formula

Least Common Multiple of 68,5705 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 68,5705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,5705) = 1

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

GCF(68,5705) x common factors =1 x 1 = 1

LCM(68,5705) = ( 68 × 5705 ) / 1

LCM(68,5705) = 387940 / 1

LCM(68,5705) = 387940


Lets's calculate GCF of 319,6627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387940/1

Therefore the LCM of Fractions 68/319,5705/6627 is 387940

Greatest Common Factor of 319,6627 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,6627 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1,3,47,141,2209,6627

Greatest Common Factor

We found the factors 319,6627 . The biggest common factor number is the GCF number.
So the greatest common factor 319,6627 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 68/319, 5705/6627

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 68/319, 5705/6627?

Answer: LCM of Numerators as per given numbers 68/319, 5705/6627 is

LCM of Numerators i.e. for 68,5705 is 387940

GCF of denominators i.e. for 319,6627 is 1.

Thus, LCM of Fractions is 387940.Finally, LCM of Fractions for 68/319, 5705/6627 is 387940.