Least Common Multiple of 44/151, 14/305, 823/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/151, 14/305, 823/473 quickly i.e. 253484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/151, 14/305, 823/473 is 253484.

LCM(44/151, 14/305, 823/473) = 253484

LCM of 44/151, 14/305, 823/473

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 44/151,14/305,823/473

Given numbers are 44/151,14/305,823/473

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 44,14,823

Least Common Multiple of Numerators i.e. LCM of 44,14,823 is 253484.

GCF of Denominators means GCF of 151,305,473 as per the given fractions.

GCF of 151,305,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,14,823

LCM of Fractions 44/151,14/305,823/473 is 253484

2 44, 14, 823
22, 7, 823

∴ So the LCM of the given numbers is 2 x 22 x 7 x 823 = 253484

Least Common Multiple of 44,14,823 with GCF Formula

Least Common Multiple of 44,14,823 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 44,14,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,14,823) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,14,823) x common factors =1 x 2 = 2

LCM(44,14,823) = ( 44 × 14 × 823 ) / 2

LCM(44,14,823) = 506968 / 2

LCM(44,14,823) = 253484


Lets's calculate GCF of 151,305,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253484/1

Therefore the LCM of Fractions 44/151,14/305,823/473 is 253484

Greatest Common Factor of 151,305,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,305,473 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 151,305,473 . The biggest common factor number is the GCF number.
So the greatest common factor 151,305,473 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 44/151, 14/305, 823/473

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 44/151, 14/305, 823/473?

Answer: LCM of Numerators as per given numbers 44/151, 14/305, 823/473 is

LCM of Numerators i.e. for 44,14,823 is 253484

GCF of denominators i.e. for 151,305,473 is 1.

Thus, LCM of Fractions is 253484.Finally, LCM of Fractions for 44/151, 14/305, 823/473 is 253484.