Least Common Multiple of 319/738, 7967/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 319/738, 7967/853 quickly i.e. 2541473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/738, 7967/853 is 2541473.

LCM(319/738, 7967/853) = 2541473

LCM of 319/738, 7967/853

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 319/738,7967/853

Given numbers are 319/738,7967/853

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 319,7967

Least Common Multiple of Numerators i.e. LCM of 319,7967 is 2541473.

GCF of Denominators means GCF of 738,853 as per the given fractions.

GCF of 738,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,7967

LCM of Fractions 319/738,7967/853 is 2541473

Given numbers has no common factors except 1. So, there LCM is their product i.e 2541473

Least Common Multiple of 319,7967 with GCF Formula

Least Common Multiple of 319,7967 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 319,7967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,7967) = 1

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

GCF(319,7967) x common factors =1 x 1 = 1

LCM(319,7967) = ( 319 × 7967 ) / 1

LCM(319,7967) = 2541473 / 1

LCM(319,7967) = 2541473


Lets's calculate GCF of 738,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2541473/1

Therefore the LCM of Fractions 319/738,7967/853 is 2541473

Greatest Common Factor of 738,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,853 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 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 738,853 . The biggest common factor number is the GCF number.
So the greatest common factor 738,853 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 319/738, 7967/853

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 319/738, 7967/853?

Answer: LCM of Numerators as per given numbers 319/738, 7967/853 is

LCM of Numerators i.e. for 319,7967 is 2541473

GCF of denominators i.e. for 738,853 is 1.

Thus, LCM of Fractions is 2541473.Finally, LCM of Fractions for 319/738, 7967/853 is 2541473.