Least Common Multiple of 45/479, 49/952, 174/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/479, 49/952, 174/322 quickly i.e. 127890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/479, 49/952, 174/322 is 127890.

LCM(45/479, 49/952, 174/322) = 127890

LCM of 45/479, 49/952, 174/322

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 45/479,49/952,174/322

Given numbers are 45/479,49/952,174/322

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 45,49,174

Least Common Multiple of Numerators i.e. LCM of 45,49,174 is 127890.

GCF of Denominators means GCF of 479,952,322 as per the given fractions.

GCF of 479,952,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,49,174

LCM of Fractions 45/479,49/952,174/322 is 127890

3 45, 49, 174
15, 49, 58

∴ So the LCM of the given numbers is 3 x 15 x 49 x 58 = 127890

Least Common Multiple of 45,49,174 with GCF Formula

Least Common Multiple of 45,49,174 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 45,49,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,49,174) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,49,174) x common factors =1 x 3 = 3

LCM(45,49,174) = ( 45 × 49 × 174 ) / 3

LCM(45,49,174) = 383670 / 3

LCM(45,49,174) = 127890


Lets's calculate GCF of 479,952,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127890/1

Therefore the LCM of Fractions 45/479,49/952,174/322 is 127890

Greatest Common Factor of 479,952,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,952,322 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 479,952,322 . The biggest common factor number is the GCF number.
So the greatest common factor 479,952,322 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 45/479, 49/952, 174/322

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 45/479, 49/952, 174/322?

Answer: LCM of Numerators as per given numbers 45/479, 49/952, 174/322 is

LCM of Numerators i.e. for 45,49,174 is 127890

GCF of denominators i.e. for 479,952,322 is 1.

Thus, LCM of Fractions is 127890.Finally, LCM of Fractions for 45/479, 49/952, 174/322 is 127890.