Least Common Multiple of 343/109, 5305/4939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/109, 5305/4939 quickly i.e. 1819615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/109, 5305/4939 is 1819615.

LCM(343/109, 5305/4939) = 1819615

LCM of 343/109, 5305/4939

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 343/109,5305/4939

Given numbers are 343/109,5305/4939

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 343,5305

Least Common Multiple of Numerators i.e. LCM of 343,5305 is 1819615.

GCF of Denominators means GCF of 109,4939 as per the given fractions.

GCF of 109,4939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,5305

LCM of Fractions 343/109,5305/4939 is 1819615

Given numbers has no common factors except 1. So, there LCM is their product i.e 1819615

Least Common Multiple of 343,5305 with GCF Formula

Least Common Multiple of 343,5305 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 343,5305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,5305) = 1

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

GCF(343,5305) x common factors =1 x 1 = 1

LCM(343,5305) = ( 343 × 5305 ) / 1

LCM(343,5305) = 1819615 / 1

LCM(343,5305) = 1819615


Lets's calculate GCF of 109,4939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1819615/1

Therefore the LCM of Fractions 343/109,5305/4939 is 1819615

Greatest Common Factor of 109,4939 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,4939 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 4939

List of positive integer factors of 4939 that divides 4939 without a remainder.

1,11,449,4939

Greatest Common Factor

We found the factors 109,4939 . The biggest common factor number is the GCF number.
So the greatest common factor 109,4939 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 343/109, 5305/4939

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 343/109, 5305/4939?

Answer: LCM of Numerators as per given numbers 343/109, 5305/4939 is

LCM of Numerators i.e. for 343,5305 is 1819615

GCF of denominators i.e. for 109,4939 is 1.

Thus, LCM of Fractions is 1819615.Finally, LCM of Fractions for 343/109, 5305/4939 is 1819615.