Least Common Multiple of 68/227, 77/529, 760/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/227, 77/529, 760/550 quickly i.e. 994840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/227, 77/529, 760/550 is 994840.

LCM(68/227, 77/529, 760/550) = 994840

LCM of 68/227, 77/529, 760/550

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 68/227,77/529,760/550

Given numbers are 68/227,77/529,760/550

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 68,77,760

Least Common Multiple of Numerators i.e. LCM of 68,77,760 is 994840.

GCF of Denominators means GCF of 227,529,550 as per the given fractions.

GCF of 227,529,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,77,760

LCM of Fractions 68/227,77/529,760/550 is 994840

2 68, 77, 760
2 34, 77, 380
17, 77, 190

∴ So the LCM of the given numbers is 2 x 2 x 17 x 77 x 190 = 994840

Least Common Multiple of 68,77,760 with GCF Formula

Least Common Multiple of 68,77,760 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 68,77,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,77,760) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,77,760) x common factors =1 x 4 = 4

LCM(68,77,760) = ( 68 × 77 × 760 ) / 4

LCM(68,77,760) = 3979360 / 4

LCM(68,77,760) = 994840


Lets's calculate GCF of 227,529,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 994840/1

Therefore the LCM of Fractions 68/227,77/529,760/550 is 994840

Greatest Common Factor of 227,529,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,529,550 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 227,529,550 . The biggest common factor number is the GCF number.
So the greatest common factor 227,529,550 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 68/227, 77/529, 760/550

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 68/227, 77/529, 760/550?

Answer: LCM of Numerators as per given numbers 68/227, 77/529, 760/550 is

LCM of Numerators i.e. for 68,77,760 is 994840

GCF of denominators i.e. for 227,529,550 is 1.

Thus, LCM of Fractions is 994840.Finally, LCM of Fractions for 68/227, 77/529, 760/550 is 994840.