Least Common Multiple of 542/538, 3314/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/538, 3314/803 quickly i.e. 898094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/538, 3314/803 is 898094.

LCM(542/538, 3314/803) = 898094

LCM of 542/538, 3314/803

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 542/538,3314/803

Given numbers are 542/538,3314/803

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 542,3314

Least Common Multiple of Numerators i.e. LCM of 542,3314 is 898094.

GCF of Denominators means GCF of 538,803 as per the given fractions.

GCF of 538,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,3314

LCM of Fractions 542/538,3314/803 is 898094

2 542, 3314
271, 1657

∴ So the LCM of the given numbers is 2 x 271 x 1657 = 898094

Least Common Multiple of 542,3314 with GCF Formula

Least Common Multiple of 542,3314 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 542,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,3314) = 2

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

GCF(542,3314) x common factors =2 x 1 = 2

LCM(542,3314) = ( 542 × 3314 ) / 2

LCM(542,3314) = 1796188 / 2

LCM(542,3314) = 898094


Lets's calculate GCF of 538,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 898094/1

Therefore the LCM of Fractions 542/538,3314/803 is 898094

Greatest Common Factor of 538,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,803 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 538,803 . The biggest common factor number is the GCF number.
So the greatest common factor 538,803 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 542/538, 3314/803

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 542/538, 3314/803?

Answer: LCM of Numerators as per given numbers 542/538, 3314/803 is

LCM of Numerators i.e. for 542,3314 is 898094

GCF of denominators i.e. for 538,803 is 1.

Thus, LCM of Fractions is 898094.Finally, LCM of Fractions for 542/538, 3314/803 is 898094.