Least Common Multiple of 3244/614, 4243/3375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3244/614, 4243/3375 quickly i.e. 13764292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3244/614, 4243/3375 is 13764292.

LCM(3244/614, 4243/3375) = 13764292

LCM of 3244/614, 4243/3375

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 3244/614,4243/3375

Given numbers are 3244/614,4243/3375

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 3244,4243

Least Common Multiple of Numerators i.e. LCM of 3244,4243 is 13764292.

GCF of Denominators means GCF of 614,3375 as per the given fractions.

GCF of 614,3375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3244,4243

LCM of Fractions 3244/614,4243/3375 is 13764292

Given numbers has no common factors except 1. So, there LCM is their product i.e 13764292

Least Common Multiple of 3244,4243 with GCF Formula

Least Common Multiple of 3244,4243 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 3244,4243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3244,4243) = 1

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

GCF(3244,4243) x common factors =1 x 1 = 1

LCM(3244,4243) = ( 3244 × 4243 ) / 1

LCM(3244,4243) = 13764292 / 1

LCM(3244,4243) = 13764292


Lets's calculate GCF of 614,3375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13764292/1

Therefore the LCM of Fractions 3244/614,4243/3375 is 13764292

Greatest Common Factor of 614,3375 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,3375 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375

Greatest Common Factor

We found the factors 614,3375 . The biggest common factor number is the GCF number.
So the greatest common factor 614,3375 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3244/614, 4243/3375

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 3244/614, 4243/3375?

Answer: LCM of Numerators as per given numbers 3244/614, 4243/3375 is

LCM of Numerators i.e. for 3244,4243 is 13764292

GCF of denominators i.e. for 614,3375 is 1.

Thus, LCM of Fractions is 13764292.Finally, LCM of Fractions for 3244/614, 4243/3375 is 13764292.