Least Common Multiple of 28/484, 22/344, 148/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/484, 22/344, 148/944 quickly i.e. 2849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/484, 22/344, 148/944 is 2849.

LCM(28/484, 22/344, 148/944) = 2849

LCM of 28/484, 22/344, 148/944

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 28/484,22/344,148/944

Given numbers are 28/484,22/344,148/944

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 28,22,148

Least Common Multiple of Numerators i.e. LCM of 28,22,148 is 11396.

GCF of Denominators means GCF of 484,344,944 as per the given fractions.

GCF of 484,344,944 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,22,148

LCM of Fractions 28/484,22/344,148/944 is 2849

2 28, 22, 148
2 14, 11, 74
7, 11, 37

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 37 = 11396

Least Common Multiple of 28,22,148 with GCF Formula

Least Common Multiple of 28,22,148 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 28,22,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,22,148) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(28,22,148) x common factors =2 x 4 = 8

LCM(28,22,148) = ( 28 × 22 × 148 ) / 8

LCM(28,22,148) = 91168 / 8

LCM(28,22,148) = 11396


Lets's calculate GCF of 484,344,944

2 484, 344, 944
2 242, 172, 472
121, 86, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11396/4

Therefore the LCM of Fractions 28/484,22/344,148/944 is 2849

Greatest Common Factor of 484,344,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,344,944 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 484,344,944 . The biggest common factor number is the GCF number.
So the greatest common factor 484,344,944 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 28/484, 22/344, 148/944

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 28/484, 22/344, 148/944?

Answer: LCM of Numerators as per given numbers 28/484, 22/344, 148/944 is

LCM of Numerators i.e. for 28,22,148 is 11396

GCF of denominators i.e. for 484,344,944 is 4.

Thus, LCM of Fractions is 2849.Finally, LCM of Fractions for 28/484, 22/344, 148/944 is 2849.