Least Common Multiple of 494/94, 553/2544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 494/94, 553/2544 quickly i.e. 136591 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/94, 553/2544 is 136591.

LCM(494/94, 553/2544) = 136591

LCM of 494/94, 553/2544

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 494/94,553/2544

Given numbers are 494/94,553/2544

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 494,553

Least Common Multiple of Numerators i.e. LCM of 494,553 is 273182.

GCF of Denominators means GCF of 94,2544 as per the given fractions.

GCF of 94,2544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,553

LCM of Fractions 494/94,553/2544 is 136591

Given numbers has no common factors except 1. So, there LCM is their product i.e 273182

Least Common Multiple of 494,553 with GCF Formula

Least Common Multiple of 494,553 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 494,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,553) = 1

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

GCF(494,553) x common factors =1 x 1 = 1

LCM(494,553) = ( 494 × 553 ) / 1

LCM(494,553) = 273182 / 1

LCM(494,553) = 273182


Lets's calculate GCF of 94,2544

2 94, 2544
47, 1272

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273182/2

Therefore the LCM of Fractions 494/94,553/2544 is 136591

Greatest Common Factor of 94,2544 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,2544 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544

Greatest Common Factor

We found the factors 94,2544 . The biggest common factor number is the GCF number.
So the greatest common factor 94,2544 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 494/94, 553/2544

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 494/94, 553/2544?

Answer: LCM of Numerators as per given numbers 494/94, 553/2544 is

LCM of Numerators i.e. for 494,553 is 273182

GCF of denominators i.e. for 94,2544 is 2.

Thus, LCM of Fractions is 136591.Finally, LCM of Fractions for 494/94, 553/2544 is 136591.