Least Common Multiple of 494/89, 343/3751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/89, 343/3751 quickly i.e. 169442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/89, 343/3751 is 169442.

LCM(494/89, 343/3751) = 169442

LCM of 494/89, 343/3751

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 494/89,343/3751

Given numbers are 494/89,343/3751

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 494,343

Least Common Multiple of Numerators i.e. LCM of 494,343 is 169442.

GCF of Denominators means GCF of 89,3751 as per the given fractions.

GCF of 89,3751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,343

LCM of Fractions 494/89,343/3751 is 169442

Given numbers has no common factors except 1. So, there LCM is their product i.e 169442

Least Common Multiple of 494,343 with GCF Formula

Least Common Multiple of 494,343 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 494,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,343) = 1

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

GCF(494,343) x common factors =1 x 1 = 1

LCM(494,343) = ( 494 × 343 ) / 1

LCM(494,343) = 169442 / 1

LCM(494,343) = 169442


Lets's calculate GCF of 89,3751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169442/1

Therefore the LCM of Fractions 494/89,343/3751 is 169442

Greatest Common Factor of 89,3751 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,3751 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 3751

List of positive integer factors of 3751 that divides 3751 without a remainder.

1,11,31,121,341,3751

Greatest Common Factor

We found the factors 89,3751 . The biggest common factor number is the GCF number.
So the greatest common factor 89,3751 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 494/89, 343/3751

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 494/89, 343/3751?

Answer: LCM of Numerators as per given numbers 494/89, 343/3751 is

LCM of Numerators i.e. for 494,343 is 169442

GCF of denominators i.e. for 89,3751 is 1.

Thus, LCM of Fractions is 169442.Finally, LCM of Fractions for 494/89, 343/3751 is 169442.