Least Common Multiple of 1066/958, 1732/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1066/958, 1732/291 quickly i.e. 923156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1066/958, 1732/291 is 923156.

LCM(1066/958, 1732/291) = 923156

LCM of 1066/958, 1732/291

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 1066/958,1732/291

Given numbers are 1066/958,1732/291

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 1066,1732

Least Common Multiple of Numerators i.e. LCM of 1066,1732 is 923156.

GCF of Denominators means GCF of 958,291 as per the given fractions.

GCF of 958,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1066,1732

LCM of Fractions 1066/958,1732/291 is 923156

2 1066, 1732
533, 866

∴ So the LCM of the given numbers is 2 x 533 x 866 = 923156

Least Common Multiple of 1066,1732 with GCF Formula

Least Common Multiple of 1066,1732 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 1066,1732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1066,1732) = 2

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

GCF(1066,1732) x common factors =2 x 1 = 2

LCM(1066,1732) = ( 1066 × 1732 ) / 2

LCM(1066,1732) = 1846312 / 2

LCM(1066,1732) = 923156


Lets's calculate GCF of 958,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 923156/1

Therefore the LCM of Fractions 1066/958,1732/291 is 923156

Greatest Common Factor of 958,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,291 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 958,291 . The biggest common factor number is the GCF number.
So the greatest common factor 958,291 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1066/958, 1732/291

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 1066/958, 1732/291?

Answer: LCM of Numerators as per given numbers 1066/958, 1732/291 is

LCM of Numerators i.e. for 1066,1732 is 923156

GCF of denominators i.e. for 958,291 is 1.

Thus, LCM of Fractions is 923156.Finally, LCM of Fractions for 1066/958, 1732/291 is 923156.