Least Common Multiple of 464/80, 703/3814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 464/80, 703/3814 quickly i.e. 163096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/80, 703/3814 is 163096.

LCM(464/80, 703/3814) = 163096

LCM of 464/80, 703/3814

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 464/80,703/3814

Given numbers are 464/80,703/3814

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 464,703

Least Common Multiple of Numerators i.e. LCM of 464,703 is 326192.

GCF of Denominators means GCF of 80,3814 as per the given fractions.

GCF of 80,3814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,703

LCM of Fractions 464/80,703/3814 is 163096

Given numbers has no common factors except 1. So, there LCM is their product i.e 326192

Least Common Multiple of 464,703 with GCF Formula

Least Common Multiple of 464,703 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 464,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,703) = 1

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

GCF(464,703) x common factors =1 x 1 = 1

LCM(464,703) = ( 464 × 703 ) / 1

LCM(464,703) = 326192 / 1

LCM(464,703) = 326192


Lets's calculate GCF of 80,3814

2 80, 3814
40, 1907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326192/2

Therefore the LCM of Fractions 464/80,703/3814 is 163096

Greatest Common Factor of 80,3814 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,3814 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1,2,1907,3814

Greatest Common Factor

We found the factors 80,3814 . The biggest common factor number is the GCF number.
So the greatest common factor 80,3814 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 464/80, 703/3814

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 464/80, 703/3814?

Answer: LCM of Numerators as per given numbers 464/80, 703/3814 is

LCM of Numerators i.e. for 464,703 is 326192

GCF of denominators i.e. for 80,3814 is 2.

Thus, LCM of Fractions is 163096.Finally, LCM of Fractions for 464/80, 703/3814 is 163096.