Least Common Multiple of 496/352, 376/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/352, 376/992 quickly i.e. 23312/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/352, 376/992 is 23312/32.

LCM(496/352, 376/992) = 23312/32

LCM of 496/352, 376/992

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 496/352,376/992

Given numbers are 496/352,376/992

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 496,376

Least Common Multiple of Numerators i.e. LCM of 496,376 is 23312.

GCF of Denominators means GCF of 352,992 as per the given fractions.

GCF of 352,992 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,376

LCM of Fractions 496/352,376/992 is 23312/32

2 496, 376
2 248, 188
2 124, 94
62, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 62 x 47 = 23312

Least Common Multiple of 496,376 with GCF Formula

Least Common Multiple of 496,376 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 496,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,376) = 8

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

GCF(496,376) x common factors =8 x 1 = 8

LCM(496,376) = ( 496 × 376 ) / 8

LCM(496,376) = 186496 / 8

LCM(496,376) = 23312


Lets's calculate GCF of 352,992

2 352, 992
2 176, 496
2 88, 248
2 44, 124
2 22, 62
11, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23312/32

Therefore the LCM of Fractions 496/352,376/992 is 23312/32

Greatest Common Factor of 352,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,992 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

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

Greatest Common Factor

We found the factors 352,992 . The biggest common factor number is the GCF number.
So the greatest common factor 352,992 is 32.


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 496/352, 376/992

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 496/352, 376/992?

Answer: LCM of Numerators as per given numbers 496/352, 376/992 is

LCM of Numerators i.e. for 496,376 is 23312

GCF of denominators i.e. for 352,992 is 32.

Thus, LCM of Fractions is 23312/32.Finally, LCM of Fractions for 496/352, 376/992 is 23312/32.