Least Common Multiple of 843/70, 303/5272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 843/70, 303/5272 quickly i.e. 85143/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/70, 303/5272 is 85143/2.

LCM(843/70, 303/5272) = 85143/2

LCM of 843/70, 303/5272

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 843/70,303/5272

Given numbers are 843/70,303/5272

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 843,303

Least Common Multiple of Numerators i.e. LCM of 843,303 is 85143.

GCF of Denominators means GCF of 70,5272 as per the given fractions.

GCF of 70,5272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,303

LCM of Fractions 843/70,303/5272 is 85143/2

3 843, 303
281, 101

∴ So the LCM of the given numbers is 3 x 281 x 101 = 85143

Least Common Multiple of 843,303 with GCF Formula

Least Common Multiple of 843,303 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 843,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,303) = 3

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

GCF(843,303) x common factors =3 x 1 = 3

LCM(843,303) = ( 843 × 303 ) / 3

LCM(843,303) = 255429 / 3

LCM(843,303) = 85143


Lets's calculate GCF of 70,5272

2 70, 5272
35, 2636

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85143/2

Therefore the LCM of Fractions 843/70,303/5272 is 85143/2

Greatest Common Factor of 70,5272 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5272 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5272

List of positive integer factors of 5272 that divides 5272 without a remainder.

1,2,4,8,659,1318,2636,5272

Greatest Common Factor

We found the factors 70,5272 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5272 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 843/70, 303/5272

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 843/70, 303/5272?

Answer: LCM of Numerators as per given numbers 843/70, 303/5272 is

LCM of Numerators i.e. for 843,303 is 85143

GCF of denominators i.e. for 70,5272 is 2.

Thus, LCM of Fractions is 85143/2.Finally, LCM of Fractions for 843/70, 303/5272 is 85143/2.