Least Common Multiple of 228/50, 488/27, 992/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/50, 488/27, 992/262 quickly i.e. 3449184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/50, 488/27, 992/262 is 3449184.

LCM(228/50, 488/27, 992/262) = 3449184

LCM of 228/50, 488/27, 992/262

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 228/50,488/27,992/262

Given numbers are 228/50,488/27,992/262

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 228,488,992

Least Common Multiple of Numerators i.e. LCM of 228,488,992 is 3449184.

GCF of Denominators means GCF of 50,27,262 as per the given fractions.

GCF of 50,27,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,488,992

LCM of Fractions 228/50,488/27,992/262 is 3449184

2 228, 488, 992
2 114, 244, 496
2 57, 122, 248
57, 61, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 61 x 124 = 3449184

Least Common Multiple of 228,488,992 with GCF Formula

Least Common Multiple of 228,488,992 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 228,488,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,488,992) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(228,488,992) x common factors =4 x 8 = 32

LCM(228,488,992) = ( 228 × 488 × 992 ) / 32

LCM(228,488,992) = 110373888 / 32

LCM(228,488,992) = 3449184


Lets's calculate GCF of 50,27,262

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3449184/1

Therefore the LCM of Fractions 228/50,488/27,992/262 is 3449184

Greatest Common Factor of 50,27,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,27,262 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 50,27,262 . The biggest common factor number is the GCF number.
So the greatest common factor 50,27,262 is 1.


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 228/50, 488/27, 992/262

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 228/50, 488/27, 992/262?

Answer: LCM of Numerators as per given numbers 228/50, 488/27, 992/262 is

LCM of Numerators i.e. for 228,488,992 is 3449184

GCF of denominators i.e. for 50,27,262 is 1.

Thus, LCM of Fractions is 3449184.Finally, LCM of Fractions for 228/50, 488/27, 992/262 is 3449184.