Least Common Multiple of 496/92, 982/2832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/92, 982/2832 quickly i.e. 60884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/92, 982/2832 is 60884.

LCM(496/92, 982/2832) = 60884

LCM of 496/92, 982/2832

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 496/92,982/2832

Given numbers are 496/92,982/2832

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 496,982

Least Common Multiple of Numerators i.e. LCM of 496,982 is 243536.

GCF of Denominators means GCF of 92,2832 as per the given fractions.

GCF of 92,2832 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,982

LCM of Fractions 496/92,982/2832 is 60884

2 496, 982
248, 491

∴ So the LCM of the given numbers is 2 x 248 x 491 = 243536

Least Common Multiple of 496,982 with GCF Formula

Least Common Multiple of 496,982 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 496,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,982) = 2

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

GCF(496,982) x common factors =2 x 1 = 2

LCM(496,982) = ( 496 × 982 ) / 2

LCM(496,982) = 487072 / 2

LCM(496,982) = 243536


Lets's calculate GCF of 92,2832

2 92, 2832
2 46, 1416
23, 708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243536/4

Therefore the LCM of Fractions 496/92,982/2832 is 60884

Greatest Common Factor of 92,2832 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,2832 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 2832

List of positive integer factors of 2832 that divides 2832 without a remainder.

1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832

Greatest Common Factor

We found the factors 92,2832 . The biggest common factor number is the GCF number.
So the greatest common factor 92,2832 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 496/92, 982/2832

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 496/92, 982/2832?

Answer: LCM of Numerators as per given numbers 496/92, 982/2832 is

LCM of Numerators i.e. for 496,982 is 243536

GCF of denominators i.e. for 92,2832 is 4.

Thus, LCM of Fractions is 60884.Finally, LCM of Fractions for 496/92, 982/2832 is 60884.