Least Common Multiple of 897/208, 7624/2243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 897/208, 7624/2243 quickly i.e. 6838728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/208, 7624/2243 is 6838728.

LCM(897/208, 7624/2243) = 6838728

LCM of 897/208, 7624/2243

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 897/208,7624/2243

Given numbers are 897/208,7624/2243

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 897,7624

Least Common Multiple of Numerators i.e. LCM of 897,7624 is 6838728.

GCF of Denominators means GCF of 208,2243 as per the given fractions.

GCF of 208,2243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,7624

LCM of Fractions 897/208,7624/2243 is 6838728

Given numbers has no common factors except 1. So, there LCM is their product i.e 6838728

Least Common Multiple of 897,7624 with GCF Formula

Least Common Multiple of 897,7624 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 897,7624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,7624) = 1

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

GCF(897,7624) x common factors =1 x 1 = 1

LCM(897,7624) = ( 897 × 7624 ) / 1

LCM(897,7624) = 6838728 / 1

LCM(897,7624) = 6838728


Lets's calculate GCF of 208,2243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6838728/1

Therefore the LCM of Fractions 897/208,7624/2243 is 6838728

Greatest Common Factor of 208,2243 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,2243 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 2243

List of positive integer factors of 2243 that divides 2243 without a remainder.

1,2243

Greatest Common Factor

We found the factors 208,2243 . The biggest common factor number is the GCF number.
So the greatest common factor 208,2243 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 897/208, 7624/2243

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 897/208, 7624/2243?

Answer: LCM of Numerators as per given numbers 897/208, 7624/2243 is

LCM of Numerators i.e. for 897,7624 is 6838728

GCF of denominators i.e. for 208,2243 is 1.

Thus, LCM of Fractions is 6838728.Finally, LCM of Fractions for 897/208, 7624/2243 is 6838728.