Least Common Multiple of 430/493, 6079/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/493, 6079/348 quickly i.e. 2613970/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/493, 6079/348 is 2613970/29.

LCM(430/493, 6079/348) = 2613970/29

LCM of 430/493, 6079/348

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 430/493,6079/348

Given numbers are 430/493,6079/348

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 430,6079

Least Common Multiple of Numerators i.e. LCM of 430,6079 is 2613970.

GCF of Denominators means GCF of 493,348 as per the given fractions.

GCF of 493,348 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,6079

LCM of Fractions 430/493,6079/348 is 2613970/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 2613970

Least Common Multiple of 430,6079 with GCF Formula

Least Common Multiple of 430,6079 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 430,6079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,6079) = 1

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

GCF(430,6079) x common factors =1 x 1 = 1

LCM(430,6079) = ( 430 × 6079 ) / 1

LCM(430,6079) = 2613970 / 1

LCM(430,6079) = 2613970


Lets's calculate GCF of 493,348

29 493, 348
17, 12

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2613970/29

Therefore the LCM of Fractions 430/493,6079/348 is 2613970/29

Greatest Common Factor of 493,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,348 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 493,348 . The biggest common factor number is the GCF number.
So the greatest common factor 493,348 is 29.


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 430/493, 6079/348

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 430/493, 6079/348?

Answer: LCM of Numerators as per given numbers 430/493, 6079/348 is

LCM of Numerators i.e. for 430,6079 is 2613970

GCF of denominators i.e. for 493,348 is 29.

Thus, LCM of Fractions is 2613970/29.Finally, LCM of Fractions for 430/493, 6079/348 is 2613970/29.