Least Common Multiple of 892/738, 9358/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 892/738, 9358/643 quickly i.e. 4173668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/738, 9358/643 is 4173668.

LCM(892/738, 9358/643) = 4173668

LCM of 892/738, 9358/643

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 892/738,9358/643

Given numbers are 892/738,9358/643

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 892,9358

Least Common Multiple of Numerators i.e. LCM of 892,9358 is 4173668.

GCF of Denominators means GCF of 738,643 as per the given fractions.

GCF of 738,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,9358

LCM of Fractions 892/738,9358/643 is 4173668

2 892, 9358
446, 4679

∴ So the LCM of the given numbers is 2 x 446 x 4679 = 4173668

Least Common Multiple of 892,9358 with GCF Formula

Least Common Multiple of 892,9358 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 892,9358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,9358) = 2

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

GCF(892,9358) x common factors =2 x 1 = 2

LCM(892,9358) = ( 892 × 9358 ) / 2

LCM(892,9358) = 8347336 / 2

LCM(892,9358) = 4173668


Lets's calculate GCF of 738,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4173668/1

Therefore the LCM of Fractions 892/738,9358/643 is 4173668

Greatest Common Factor of 738,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,643 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 738,643 . The biggest common factor number is the GCF number.
So the greatest common factor 738,643 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 892/738, 9358/643

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 892/738, 9358/643?

Answer: LCM of Numerators as per given numbers 892/738, 9358/643 is

LCM of Numerators i.e. for 892,9358 is 4173668

GCF of denominators i.e. for 738,643 is 1.

Thus, LCM of Fractions is 4173668.Finally, LCM of Fractions for 892/738, 9358/643 is 4173668.