Least Common Multiple of 392/596, 2348/8956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/596, 2348/8956 quickly i.e. 57526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/596, 2348/8956 is 57526.

LCM(392/596, 2348/8956) = 57526

LCM of 392/596, 2348/8956

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 392/596,2348/8956

Given numbers are 392/596,2348/8956

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 392,2348

Least Common Multiple of Numerators i.e. LCM of 392,2348 is 230104.

GCF of Denominators means GCF of 596,8956 as per the given fractions.

GCF of 596,8956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,2348

LCM of Fractions 392/596,2348/8956 is 57526

2 392, 2348
2 196, 1174
98, 587

∴ So the LCM of the given numbers is 2 x 2 x 98 x 587 = 230104

Least Common Multiple of 392,2348 with GCF Formula

Least Common Multiple of 392,2348 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 392,2348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,2348) = 4

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

GCF(392,2348) x common factors =4 x 1 = 4

LCM(392,2348) = ( 392 × 2348 ) / 4

LCM(392,2348) = 920416 / 4

LCM(392,2348) = 230104


Lets's calculate GCF of 596,8956

2 596, 8956
2 298, 4478
149, 2239

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230104/4

Therefore the LCM of Fractions 392/596,2348/8956 is 57526

Greatest Common Factor of 596,8956 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,8956 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 8956

List of positive integer factors of 8956 that divides 8956 without a remainder.

1,2,4,2239,4478,8956

Greatest Common Factor

We found the factors 596,8956 . The biggest common factor number is the GCF number.
So the greatest common factor 596,8956 is 4.


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 392/596, 2348/8956

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 392/596, 2348/8956?

Answer: LCM of Numerators as per given numbers 392/596, 2348/8956 is

LCM of Numerators i.e. for 392,2348 is 230104

GCF of denominators i.e. for 596,8956 is 4.

Thus, LCM of Fractions is 57526.Finally, LCM of Fractions for 392/596, 2348/8956 is 57526.