Least Common Multiple of 1423/413, 7509/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1423/413, 7509/703 quickly i.e. 10685307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1423/413, 7509/703 is 10685307.

LCM(1423/413, 7509/703) = 10685307

LCM of 1423/413, 7509/703

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 1423/413,7509/703

Given numbers are 1423/413,7509/703

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 1423,7509

Least Common Multiple of Numerators i.e. LCM of 1423,7509 is 10685307.

GCF of Denominators means GCF of 413,703 as per the given fractions.

GCF of 413,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1423,7509

LCM of Fractions 1423/413,7509/703 is 10685307

Given numbers has no common factors except 1. So, there LCM is their product i.e 10685307

Least Common Multiple of 1423,7509 with GCF Formula

Least Common Multiple of 1423,7509 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 1423,7509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1423,7509) = 1

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

GCF(1423,7509) x common factors =1 x 1 = 1

LCM(1423,7509) = ( 1423 × 7509 ) / 1

LCM(1423,7509) = 10685307 / 1

LCM(1423,7509) = 10685307


Lets's calculate GCF of 413,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10685307/1

Therefore the LCM of Fractions 1423/413,7509/703 is 10685307

Greatest Common Factor of 413,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,703 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 413,703 . The biggest common factor number is the GCF number.
So the greatest common factor 413,703 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 1423/413, 7509/703

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 1423/413, 7509/703?

Answer: LCM of Numerators as per given numbers 1423/413, 7509/703 is

LCM of Numerators i.e. for 1423,7509 is 10685307

GCF of denominators i.e. for 413,703 is 1.

Thus, LCM of Fractions is 10685307.Finally, LCM of Fractions for 1423/413, 7509/703 is 10685307.