Least Common Multiple of 319/998, 3913/2664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 319/998, 3913/2664 quickly i.e. 1248247/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/998, 3913/2664 is 1248247/2.

LCM(319/998, 3913/2664) = 1248247/2

LCM of 319/998, 3913/2664

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 319/998,3913/2664

Given numbers are 319/998,3913/2664

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 319,3913

Least Common Multiple of Numerators i.e. LCM of 319,3913 is 1248247.

GCF of Denominators means GCF of 998,2664 as per the given fractions.

GCF of 998,2664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,3913

LCM of Fractions 319/998,3913/2664 is 1248247/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1248247

Least Common Multiple of 319,3913 with GCF Formula

Least Common Multiple of 319,3913 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 319,3913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,3913) = 1

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

GCF(319,3913) x common factors =1 x 1 = 1

LCM(319,3913) = ( 319 × 3913 ) / 1

LCM(319,3913) = 1248247 / 1

LCM(319,3913) = 1248247


Lets's calculate GCF of 998,2664

2 998, 2664
499, 1332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1248247/2

Therefore the LCM of Fractions 319/998,3913/2664 is 1248247/2

Greatest Common Factor of 998,2664 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,2664 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664

Greatest Common Factor

We found the factors 998,2664 . The biggest common factor number is the GCF number.
So the greatest common factor 998,2664 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 319/998, 3913/2664

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 319/998, 3913/2664?

Answer: LCM of Numerators as per given numbers 319/998, 3913/2664 is

LCM of Numerators i.e. for 319,3913 is 1248247

GCF of denominators i.e. for 998,2664 is 2.

Thus, LCM of Fractions is 1248247/2.Finally, LCM of Fractions for 319/998, 3913/2664 is 1248247/2.