Least Common Multiple of 8543/494, 7288/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8543/494, 7288/494 quickly i.e. 62261384/494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8543/494, 7288/494 is 62261384/494.

LCM(8543/494, 7288/494) = 62261384/494

LCM of 8543/494, 7288/494

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 8543/494,7288/494

Given numbers are 8543/494,7288/494

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 8543,7288

Least Common Multiple of Numerators i.e. LCM of 8543,7288 is 62261384.

GCF of Denominators means GCF of 494,494 as per the given fractions.

GCF of 494,494 is 494 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8543,7288

LCM of Fractions 8543/494,7288/494 is 62261384/494

Given numbers has no common factors except 1. So, there LCM is their product i.e 62261384

Least Common Multiple of 8543,7288 with GCF Formula

Least Common Multiple of 8543,7288 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 8543,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8543,7288) = 1

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

GCF(8543,7288) x common factors =1 x 1 = 1

LCM(8543,7288) = ( 8543 × 7288 ) / 1

LCM(8543,7288) = 62261384 / 1

LCM(8543,7288) = 62261384


Lets's calculate GCF of 494,494

2 494, 494
13 247, 247
19 19, 19
1, 1

∴ So the GCF of the given numbers is 2 x 13 x 19 = 494

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62261384/494

Therefore the LCM of Fractions 8543/494,7288/494 is 62261384/494

Greatest Common Factor of 494,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,494 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

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


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8543/494, 7288/494

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 8543/494, 7288/494?

Answer: LCM of Numerators as per given numbers 8543/494, 7288/494 is

LCM of Numerators i.e. for 8543,7288 is 62261384

GCF of denominators i.e. for 494,494 is 494.

Thus, LCM of Fractions is 62261384/494.Finally, LCM of Fractions for 8543/494, 7288/494 is 62261384/494.