Least Common Multiple of 480/760, 5309/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/760, 5309/343 quickly i.e. 2548320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/760, 5309/343 is 2548320.

LCM(480/760, 5309/343) = 2548320

LCM of 480/760, 5309/343

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 480/760,5309/343

Given numbers are 480/760,5309/343

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 480,5309

Least Common Multiple of Numerators i.e. LCM of 480,5309 is 2548320.

GCF of Denominators means GCF of 760,343 as per the given fractions.

GCF of 760,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,5309

LCM of Fractions 480/760,5309/343 is 2548320

Given numbers has no common factors except 1. So, there LCM is their product i.e 2548320

Least Common Multiple of 480,5309 with GCF Formula

Least Common Multiple of 480,5309 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 480,5309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,5309) = 1

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

GCF(480,5309) x common factors =1 x 1 = 1

LCM(480,5309) = ( 480 × 5309 ) / 1

LCM(480,5309) = 2548320 / 1

LCM(480,5309) = 2548320


Lets's calculate GCF of 760,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2548320/1

Therefore the LCM of Fractions 480/760,5309/343 is 2548320

Greatest Common Factor of 760,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,343 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 760,343 . The biggest common factor number is the GCF number.
So the greatest common factor 760,343 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 480/760, 5309/343

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 480/760, 5309/343?

Answer: LCM of Numerators as per given numbers 480/760, 5309/343 is

LCM of Numerators i.e. for 480,5309 is 2548320

GCF of denominators i.e. for 760,343 is 1.

Thus, LCM of Fractions is 2548320.Finally, LCM of Fractions for 480/760, 5309/343 is 2548320.