Least Common Multiple of 4818/992, 4046/4232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4818/992, 4046/4232 quickly i.e. 9746814/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4818/992, 4046/4232 is 9746814/8.

LCM(4818/992, 4046/4232) = 9746814/8

LCM of 4818/992, 4046/4232

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 4818/992,4046/4232

Given numbers are 4818/992,4046/4232

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 4818,4046

Least Common Multiple of Numerators i.e. LCM of 4818,4046 is 9746814.

GCF of Denominators means GCF of 992,4232 as per the given fractions.

GCF of 992,4232 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4818,4046

LCM of Fractions 4818/992,4046/4232 is 9746814/8

2 4818, 4046
2409, 2023

∴ So the LCM of the given numbers is 2 x 2409 x 2023 = 9746814

Least Common Multiple of 4818,4046 with GCF Formula

Least Common Multiple of 4818,4046 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 4818,4046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4818,4046) = 2

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

GCF(4818,4046) x common factors =2 x 1 = 2

LCM(4818,4046) = ( 4818 × 4046 ) / 2

LCM(4818,4046) = 19493628 / 2

LCM(4818,4046) = 9746814


Lets's calculate GCF of 992,4232

2 992, 4232
2 496, 2116
2 248, 1058
124, 529

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9746814/8

Therefore the LCM of Fractions 4818/992,4046/4232 is 9746814/8

Greatest Common Factor of 992,4232 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,4232 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1,2,4,8,23,46,92,184,529,1058,2116,4232

Greatest Common Factor

We found the factors 992,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 992,4232 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4818/992, 4046/4232

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 4818/992, 4046/4232?

Answer: LCM of Numerators as per given numbers 4818/992, 4046/4232 is

LCM of Numerators i.e. for 4818,4046 is 9746814

GCF of denominators i.e. for 992,4232 is 8.

Thus, LCM of Fractions is 9746814/8.Finally, LCM of Fractions for 4818/992, 4046/4232 is 9746814/8.