Least Common Multiple of 224/769, 7319/3438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/769, 7319/3438 quickly i.e. 1639456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/769, 7319/3438 is 1639456.

LCM(224/769, 7319/3438) = 1639456

LCM of 224/769, 7319/3438

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 224/769,7319/3438

Given numbers are 224/769,7319/3438

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 224,7319

Least Common Multiple of Numerators i.e. LCM of 224,7319 is 1639456.

GCF of Denominators means GCF of 769,3438 as per the given fractions.

GCF of 769,3438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,7319

LCM of Fractions 224/769,7319/3438 is 1639456

Given numbers has no common factors except 1. So, there LCM is their product i.e 1639456

Least Common Multiple of 224,7319 with GCF Formula

Least Common Multiple of 224,7319 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 224,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,7319) = 1

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

GCF(224,7319) x common factors =1 x 1 = 1

LCM(224,7319) = ( 224 × 7319 ) / 1

LCM(224,7319) = 1639456 / 1

LCM(224,7319) = 1639456


Lets's calculate GCF of 769,3438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1639456/1

Therefore the LCM of Fractions 224/769,7319/3438 is 1639456

Greatest Common Factor of 769,3438 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,3438 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors 769,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 769,3438 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 224/769, 7319/3438

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 224/769, 7319/3438?

Answer: LCM of Numerators as per given numbers 224/769, 7319/3438 is

LCM of Numerators i.e. for 224,7319 is 1639456

GCF of denominators i.e. for 769,3438 is 1.

Thus, LCM of Fractions is 1639456.Finally, LCM of Fractions for 224/769, 7319/3438 is 1639456.