Least Common Multiple of 738/50, 590/3271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 738/50, 590/3271 quickly i.e. 217710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/50, 590/3271 is 217710.

LCM(738/50, 590/3271) = 217710

LCM of 738/50, 590/3271

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 738/50,590/3271

Given numbers are 738/50,590/3271

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 738,590

Least Common Multiple of Numerators i.e. LCM of 738,590 is 217710.

GCF of Denominators means GCF of 50,3271 as per the given fractions.

GCF of 50,3271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,590

LCM of Fractions 738/50,590/3271 is 217710

2 738, 590
369, 295

∴ So the LCM of the given numbers is 2 x 369 x 295 = 217710

Least Common Multiple of 738,590 with GCF Formula

Least Common Multiple of 738,590 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 738,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,590) = 2

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

GCF(738,590) x common factors =2 x 1 = 2

LCM(738,590) = ( 738 × 590 ) / 2

LCM(738,590) = 435420 / 2

LCM(738,590) = 217710


Lets's calculate GCF of 50,3271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217710/1

Therefore the LCM of Fractions 738/50,590/3271 is 217710

Greatest Common Factor of 50,3271 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,3271 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 3271

List of positive integer factors of 3271 that divides 3271 without a remainder.

1,3271

Greatest Common Factor

We found the factors 50,3271 . The biggest common factor number is the GCF number.
So the greatest common factor 50,3271 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 738/50, 590/3271

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 738/50, 590/3271?

Answer: LCM of Numerators as per given numbers 738/50, 590/3271 is

LCM of Numerators i.e. for 738,590 is 217710

GCF of denominators i.e. for 50,3271 is 1.

Thus, LCM of Fractions is 217710.Finally, LCM of Fractions for 738/50, 590/3271 is 217710.