Least Common Multiple of 1724/981, 6829/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1724/981, 6829/677 quickly i.e. 11773196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1724/981, 6829/677 is 11773196.

LCM(1724/981, 6829/677) = 11773196

LCM of 1724/981, 6829/677

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 1724/981,6829/677

Given numbers are 1724/981,6829/677

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 1724,6829

Least Common Multiple of Numerators i.e. LCM of 1724,6829 is 11773196.

GCF of Denominators means GCF of 981,677 as per the given fractions.

GCF of 981,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1724,6829

LCM of Fractions 1724/981,6829/677 is 11773196

Given numbers has no common factors except 1. So, there LCM is their product i.e 11773196

Least Common Multiple of 1724,6829 with GCF Formula

Least Common Multiple of 1724,6829 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 1724,6829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1724,6829) = 1

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

GCF(1724,6829) x common factors =1 x 1 = 1

LCM(1724,6829) = ( 1724 × 6829 ) / 1

LCM(1724,6829) = 11773196 / 1

LCM(1724,6829) = 11773196


Lets's calculate GCF of 981,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11773196/1

Therefore the LCM of Fractions 1724/981,6829/677 is 11773196

Greatest Common Factor of 981,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,677 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 981,677 . The biggest common factor number is the GCF number.
So the greatest common factor 981,677 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 1724/981, 6829/677

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 1724/981, 6829/677?

Answer: LCM of Numerators as per given numbers 1724/981, 6829/677 is

LCM of Numerators i.e. for 1724,6829 is 11773196

GCF of denominators i.e. for 981,677 is 1.

Thus, LCM of Fractions is 11773196.Finally, LCM of Fractions for 1724/981, 6829/677 is 11773196.