Least Common Multiple of 418/69, 118/1703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 418/69, 118/1703 quickly i.e. 24662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 418/69, 118/1703 is 24662.

LCM(418/69, 118/1703) = 24662

LCM of 418/69, 118/1703

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 418/69,118/1703

Given numbers are 418/69,118/1703

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 418,118

Least Common Multiple of Numerators i.e. LCM of 418,118 is 24662.

GCF of Denominators means GCF of 69,1703 as per the given fractions.

GCF of 69,1703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 418,118

LCM of Fractions 418/69,118/1703 is 24662

2 418, 118
209, 59

∴ So the LCM of the given numbers is 2 x 209 x 59 = 24662

Least Common Multiple of 418,118 with GCF Formula

Least Common Multiple of 418,118 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 418,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,118) = 2

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

GCF(418,118) x common factors =2 x 1 = 2

LCM(418,118) = ( 418 × 118 ) / 2

LCM(418,118) = 49324 / 2

LCM(418,118) = 24662


Lets's calculate GCF of 69,1703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24662/1

Therefore the LCM of Fractions 418/69,118/1703 is 24662

Greatest Common Factor of 69,1703 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,1703 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 1703

List of positive integer factors of 1703 that divides 1703 without a remainder.

1,13,131,1703

Greatest Common Factor

We found the factors 69,1703 . The biggest common factor number is the GCF number.
So the greatest common factor 69,1703 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 418/69, 118/1703

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 418/69, 118/1703?

Answer: LCM of Numerators as per given numbers 418/69, 118/1703 is

LCM of Numerators i.e. for 418,118 is 24662

GCF of denominators i.e. for 69,1703 is 1.

Thus, LCM of Fractions is 24662.Finally, LCM of Fractions for 418/69, 118/1703 is 24662.