Least Common Multiple of 769/483, 945/909, 547/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/483, 945/909, 547/611 quickly i.e. 397507635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/483, 945/909, 547/611 is 397507635.

LCM(769/483, 945/909, 547/611) = 397507635

LCM of 769/483, 945/909, 547/611

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 769/483,945/909,547/611

Given numbers are 769/483,945/909,547/611

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 769,945,547

Least Common Multiple of Numerators i.e. LCM of 769,945,547 is 397507635.

GCF of Denominators means GCF of 483,909,611 as per the given fractions.

GCF of 483,909,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,945,547

LCM of Fractions 769/483,945/909,547/611 is 397507635

Given numbers has no common factors except 1. So, there LCM is their product i.e 397507635

Least Common Multiple of 769,945,547 with GCF Formula

Least Common Multiple of 769,945,547 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 769,945,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,945,547) = 1

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

GCF(769,945,547) x common factors =1 x 1 = 1

LCM(769,945,547) = ( 769 × 945 × 547 ) / 1

LCM(769,945,547) = 397507635 / 1

LCM(769,945,547) = 397507635


Lets's calculate GCF of 483,909,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397507635/1

Therefore the LCM of Fractions 769/483,945/909,547/611 is 397507635

Greatest Common Factor of 483,909,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,909,611 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 483,909,611 . The biggest common factor number is the GCF number.
So the greatest common factor 483,909,611 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 769/483, 945/909, 547/611

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 769/483, 945/909, 547/611?

Answer: LCM of Numerators as per given numbers 769/483, 945/909, 547/611 is

LCM of Numerators i.e. for 769,945,547 is 397507635

GCF of denominators i.e. for 483,909,611 is 1.

Thus, LCM of Fractions is 397507635.Finally, LCM of Fractions for 769/483, 945/909, 547/611 is 397507635.