Least Common Multiple of 2638/508, 2743/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2638/508, 2743/527 quickly i.e. 7236034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2638/508, 2743/527 is 7236034.

LCM(2638/508, 2743/527) = 7236034

LCM of 2638/508, 2743/527

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 2638/508,2743/527

Given numbers are 2638/508,2743/527

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 2638,2743

Least Common Multiple of Numerators i.e. LCM of 2638,2743 is 7236034.

GCF of Denominators means GCF of 508,527 as per the given fractions.

GCF of 508,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2638,2743

LCM of Fractions 2638/508,2743/527 is 7236034

Given numbers has no common factors except 1. So, there LCM is their product i.e 7236034

Least Common Multiple of 2638,2743 with GCF Formula

Least Common Multiple of 2638,2743 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 2638,2743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2638,2743) = 1

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

GCF(2638,2743) x common factors =1 x 1 = 1

LCM(2638,2743) = ( 2638 × 2743 ) / 1

LCM(2638,2743) = 7236034 / 1

LCM(2638,2743) = 7236034


Lets's calculate GCF of 508,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7236034/1

Therefore the LCM of Fractions 2638/508,2743/527 is 7236034

Greatest Common Factor of 508,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,527 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 508,527 . The biggest common factor number is the GCF number.
So the greatest common factor 508,527 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2638/508, 2743/527

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 2638/508, 2743/527?

Answer: LCM of Numerators as per given numbers 2638/508, 2743/527 is

LCM of Numerators i.e. for 2638,2743 is 7236034

GCF of denominators i.e. for 508,527 is 1.

Thus, LCM of Fractions is 7236034.Finally, LCM of Fractions for 2638/508, 2743/527 is 7236034.