Least Common Multiple of 392/76, 535/5529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 392/76, 535/5529 quickly i.e. 209720/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/76, 535/5529 is 209720/19.

LCM(392/76, 535/5529) = 209720/19

LCM of 392/76, 535/5529

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 392/76,535/5529

Given numbers are 392/76,535/5529

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 392,535

Least Common Multiple of Numerators i.e. LCM of 392,535 is 209720.

GCF of Denominators means GCF of 76,5529 as per the given fractions.

GCF of 76,5529 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,535

LCM of Fractions 392/76,535/5529 is 209720/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 209720

Least Common Multiple of 392,535 with GCF Formula

Least Common Multiple of 392,535 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 392,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,535) = 1

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

GCF(392,535) x common factors =1 x 1 = 1

LCM(392,535) = ( 392 × 535 ) / 1

LCM(392,535) = 209720 / 1

LCM(392,535) = 209720


Lets's calculate GCF of 76,5529

19 76, 5529
4, 291

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209720/19

Therefore the LCM of Fractions 392/76,535/5529 is 209720/19

Greatest Common Factor of 76,5529 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,5529 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Greatest Common Factor

We found the factors 76,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 76,5529 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 392/76, 535/5529

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 392/76, 535/5529?

Answer: LCM of Numerators as per given numbers 392/76, 535/5529 is

LCM of Numerators i.e. for 392,535 is 209720

GCF of denominators i.e. for 76,5529 is 19.

Thus, LCM of Fractions is 209720/19.Finally, LCM of Fractions for 392/76, 535/5529 is 209720/19.