Least Common Multiple of 709/998, 1683/7849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/998, 1683/7849 quickly i.e. 1193247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/998, 1683/7849 is 1193247.

LCM(709/998, 1683/7849) = 1193247

LCM of 709/998, 1683/7849

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 709/998,1683/7849

Given numbers are 709/998,1683/7849

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 709,1683

Least Common Multiple of Numerators i.e. LCM of 709,1683 is 1193247.

GCF of Denominators means GCF of 998,7849 as per the given fractions.

GCF of 998,7849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,1683

LCM of Fractions 709/998,1683/7849 is 1193247

Given numbers has no common factors except 1. So, there LCM is their product i.e 1193247

Least Common Multiple of 709,1683 with GCF Formula

Least Common Multiple of 709,1683 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 709,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,1683) = 1

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

GCF(709,1683) x common factors =1 x 1 = 1

LCM(709,1683) = ( 709 × 1683 ) / 1

LCM(709,1683) = 1193247 / 1

LCM(709,1683) = 1193247


Lets's calculate GCF of 998,7849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1193247/1

Therefore the LCM of Fractions 709/998,1683/7849 is 1193247

Greatest Common Factor of 998,7849 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,7849 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 7849

List of positive integer factors of 7849 that divides 7849 without a remainder.

1,47,167,7849

Greatest Common Factor

We found the factors 998,7849 . The biggest common factor number is the GCF number.
So the greatest common factor 998,7849 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 709/998, 1683/7849

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 709/998, 1683/7849?

Answer: LCM of Numerators as per given numbers 709/998, 1683/7849 is

LCM of Numerators i.e. for 709,1683 is 1193247

GCF of denominators i.e. for 998,7849 is 1.

Thus, LCM of Fractions is 1193247.Finally, LCM of Fractions for 709/998, 1683/7849 is 1193247.