Least Common Multiple of 493/203, 710/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/203, 710/435 quickly i.e. 12070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/203, 710/435 is 12070.

LCM(493/203, 710/435) = 12070

LCM of 493/203, 710/435

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 493/203,710/435

Given numbers are 493/203,710/435

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 493,710

Least Common Multiple of Numerators i.e. LCM of 493,710 is 350030.

GCF of Denominators means GCF of 203,435 as per the given fractions.

GCF of 203,435 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,710

LCM of Fractions 493/203,710/435 is 12070

Given numbers has no common factors except 1. So, there LCM is their product i.e 350030

Least Common Multiple of 493,710 with GCF Formula

Least Common Multiple of 493,710 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 493,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,710) = 1

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

GCF(493,710) x common factors =1 x 1 = 1

LCM(493,710) = ( 493 × 710 ) / 1

LCM(493,710) = 350030 / 1

LCM(493,710) = 350030


Lets's calculate GCF of 203,435

29 203, 435
7, 15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350030/29

Therefore the LCM of Fractions 493/203,710/435 is 12070

Greatest Common Factor of 203,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,435 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 203,435 . The biggest common factor number is the GCF number.
So the greatest common factor 203,435 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 493/203, 710/435

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 493/203, 710/435?

Answer: LCM of Numerators as per given numbers 493/203, 710/435 is

LCM of Numerators i.e. for 493,710 is 350030

GCF of denominators i.e. for 203,435 is 29.

Thus, LCM of Fractions is 12070.Finally, LCM of Fractions for 493/203, 710/435 is 12070.