Least Common Multiple of 689/140, 228/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/140, 228/279 quickly i.e. 157092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/140, 228/279 is 157092.

LCM(689/140, 228/279) = 157092

LCM of 689/140, 228/279

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 689/140,228/279

Given numbers are 689/140,228/279

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 689,228

Least Common Multiple of Numerators i.e. LCM of 689,228 is 157092.

GCF of Denominators means GCF of 140,279 as per the given fractions.

GCF of 140,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,228

LCM of Fractions 689/140,228/279 is 157092

Given numbers has no common factors except 1. So, there LCM is their product i.e 157092

Least Common Multiple of 689,228 with GCF Formula

Least Common Multiple of 689,228 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 689,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,228) = 1

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

GCF(689,228) x common factors =1 x 1 = 1

LCM(689,228) = ( 689 × 228 ) / 1

LCM(689,228) = 157092 / 1

LCM(689,228) = 157092


Lets's calculate GCF of 140,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157092/1

Therefore the LCM of Fractions 689/140,228/279 is 157092

Greatest Common Factor of 140,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,279 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 140,279 . The biggest common factor number is the GCF number.
So the greatest common factor 140,279 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 689/140, 228/279

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 689/140, 228/279?

Answer: LCM of Numerators as per given numbers 689/140, 228/279 is

LCM of Numerators i.e. for 689,228 is 157092

GCF of denominators i.e. for 140,279 is 1.

Thus, LCM of Fractions is 157092.Finally, LCM of Fractions for 689/140, 228/279 is 157092.