Least Common Multiple of 7407/969, 2057/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7407/969, 2057/243 quickly i.e. 5078733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7407/969, 2057/243 is 5078733.

LCM(7407/969, 2057/243) = 5078733

LCM of 7407/969, 2057/243

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 7407/969,2057/243

Given numbers are 7407/969,2057/243

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 7407,2057

Least Common Multiple of Numerators i.e. LCM of 7407,2057 is 15236199.

GCF of Denominators means GCF of 969,243 as per the given fractions.

GCF of 969,243 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7407,2057

LCM of Fractions 7407/969,2057/243 is 5078733

Given numbers has no common factors except 1. So, there LCM is their product i.e 15236199

Least Common Multiple of 7407,2057 with GCF Formula

Least Common Multiple of 7407,2057 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 7407,2057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7407,2057) = 1

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

GCF(7407,2057) x common factors =1 x 1 = 1

LCM(7407,2057) = ( 7407 × 2057 ) / 1

LCM(7407,2057) = 15236199 / 1

LCM(7407,2057) = 15236199


Lets's calculate GCF of 969,243

3 969, 243
323, 81

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15236199/3

Therefore the LCM of Fractions 7407/969,2057/243 is 5078733

Greatest Common Factor of 969,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,243 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 969,243 . The biggest common factor number is the GCF number.
So the greatest common factor 969,243 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7407/969, 2057/243

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 7407/969, 2057/243?

Answer: LCM of Numerators as per given numbers 7407/969, 2057/243 is

LCM of Numerators i.e. for 7407,2057 is 15236199

GCF of denominators i.e. for 969,243 is 3.

Thus, LCM of Fractions is 5078733.Finally, LCM of Fractions for 7407/969, 2057/243 is 5078733.