Least Common Multiple of 697/654, 5989/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 697/654, 5989/879 quickly i.e. 4174333/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/654, 5989/879 is 4174333/3.

LCM(697/654, 5989/879) = 4174333/3

LCM of 697/654, 5989/879

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 697/654,5989/879

Given numbers are 697/654,5989/879

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 697,5989

Least Common Multiple of Numerators i.e. LCM of 697,5989 is 4174333.

GCF of Denominators means GCF of 654,879 as per the given fractions.

GCF of 654,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,5989

LCM of Fractions 697/654,5989/879 is 4174333/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 4174333

Least Common Multiple of 697,5989 with GCF Formula

Least Common Multiple of 697,5989 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 697,5989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,5989) = 1

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

GCF(697,5989) x common factors =1 x 1 = 1

LCM(697,5989) = ( 697 × 5989 ) / 1

LCM(697,5989) = 4174333 / 1

LCM(697,5989) = 4174333


Lets's calculate GCF of 654,879

3 654, 879
218, 293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4174333/3

Therefore the LCM of Fractions 697/654,5989/879 is 4174333/3

Greatest Common Factor of 654,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,879 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 654,879 . The biggest common factor number is the GCF number.
So the greatest common factor 654,879 is 3.


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 697/654, 5989/879

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 697/654, 5989/879?

Answer: LCM of Numerators as per given numbers 697/654, 5989/879 is

LCM of Numerators i.e. for 697,5989 is 4174333

GCF of denominators i.e. for 654,879 is 3.

Thus, LCM of Fractions is 4174333/3.Finally, LCM of Fractions for 697/654, 5989/879 is 4174333/3.