Least Common Multiple of 745/19, 998/6773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 745/19, 998/6773 quickly i.e. 743510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/19, 998/6773 is 743510.

LCM(745/19, 998/6773) = 743510

LCM of 745/19, 998/6773

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 745/19,998/6773

Given numbers are 745/19,998/6773

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 745,998

Least Common Multiple of Numerators i.e. LCM of 745,998 is 743510.

GCF of Denominators means GCF of 19,6773 as per the given fractions.

GCF of 19,6773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,998

LCM of Fractions 745/19,998/6773 is 743510

Given numbers has no common factors except 1. So, there LCM is their product i.e 743510

Least Common Multiple of 745,998 with GCF Formula

Least Common Multiple of 745,998 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 745,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,998) = 1

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

GCF(745,998) x common factors =1 x 1 = 1

LCM(745,998) = ( 745 × 998 ) / 1

LCM(745,998) = 743510 / 1

LCM(745,998) = 743510


Lets's calculate GCF of 19,6773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743510/1

Therefore the LCM of Fractions 745/19,998/6773 is 743510

Greatest Common Factor of 19,6773 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,6773 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 6773

List of positive integer factors of 6773 that divides 6773 without a remainder.

1,13,521,6773

Greatest Common Factor

We found the factors 19,6773 . The biggest common factor number is the GCF number.
So the greatest common factor 19,6773 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 745/19, 998/6773

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 745/19, 998/6773?

Answer: LCM of Numerators as per given numbers 745/19, 998/6773 is

LCM of Numerators i.e. for 745,998 is 743510

GCF of denominators i.e. for 19,6773 is 1.

Thus, LCM of Fractions is 743510.Finally, LCM of Fractions for 745/19, 998/6773 is 743510.