Least Common Multiple of 569/769, 6650/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 569/769, 6650/667 quickly i.e. 3783850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/769, 6650/667 is 3783850.

LCM(569/769, 6650/667) = 3783850

LCM of 569/769, 6650/667

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 569/769,6650/667

Given numbers are 569/769,6650/667

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 569,6650

Least Common Multiple of Numerators i.e. LCM of 569,6650 is 3783850.

GCF of Denominators means GCF of 769,667 as per the given fractions.

GCF of 769,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,6650

LCM of Fractions 569/769,6650/667 is 3783850

Given numbers has no common factors except 1. So, there LCM is their product i.e 3783850

Least Common Multiple of 569,6650 with GCF Formula

Least Common Multiple of 569,6650 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 569,6650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,6650) = 1

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

GCF(569,6650) x common factors =1 x 1 = 1

LCM(569,6650) = ( 569 × 6650 ) / 1

LCM(569,6650) = 3783850 / 1

LCM(569,6650) = 3783850


Lets's calculate GCF of 769,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3783850/1

Therefore the LCM of Fractions 569/769,6650/667 is 3783850

Greatest Common Factor of 769,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,667 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 769,667 . The biggest common factor number is the GCF number.
So the greatest common factor 769,667 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 569/769, 6650/667

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 569/769, 6650/667?

Answer: LCM of Numerators as per given numbers 569/769, 6650/667 is

LCM of Numerators i.e. for 569,6650 is 3783850

GCF of denominators i.e. for 769,667 is 1.

Thus, LCM of Fractions is 3783850.Finally, LCM of Fractions for 569/769, 6650/667 is 3783850.