Least Common Multiple of 699/829, 8537/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 699/829, 8537/979 quickly i.e. 5967363 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/829, 8537/979 is 5967363.

LCM(699/829, 8537/979) = 5967363

LCM of 699/829, 8537/979

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 699/829,8537/979

Given numbers are 699/829,8537/979

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 699,8537

Least Common Multiple of Numerators i.e. LCM of 699,8537 is 5967363.

GCF of Denominators means GCF of 829,979 as per the given fractions.

GCF of 829,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,8537

LCM of Fractions 699/829,8537/979 is 5967363

Given numbers has no common factors except 1. So, there LCM is their product i.e 5967363

Least Common Multiple of 699,8537 with GCF Formula

Least Common Multiple of 699,8537 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 699,8537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,8537) = 1

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

GCF(699,8537) x common factors =1 x 1 = 1

LCM(699,8537) = ( 699 × 8537 ) / 1

LCM(699,8537) = 5967363 / 1

LCM(699,8537) = 5967363


Lets's calculate GCF of 829,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5967363/1

Therefore the LCM of Fractions 699/829,8537/979 is 5967363

Greatest Common Factor of 829,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,979 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 829,979 . The biggest common factor number is the GCF number.
So the greatest common factor 829,979 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 699/829, 8537/979

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 699/829, 8537/979?

Answer: LCM of Numerators as per given numbers 699/829, 8537/979 is

LCM of Numerators i.e. for 699,8537 is 5967363

GCF of denominators i.e. for 829,979 is 1.

Thus, LCM of Fractions is 5967363.Finally, LCM of Fractions for 699/829, 8537/979 is 5967363.