Least Common Multiple of 309/548, 491/489, 695/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/548, 491/489, 695/697 quickly i.e. 105444705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/548, 491/489, 695/697 is 105444705.

LCM(309/548, 491/489, 695/697) = 105444705

LCM of 309/548, 491/489, 695/697

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 309/548,491/489,695/697

Given numbers are 309/548,491/489,695/697

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 309,491,695

Least Common Multiple of Numerators i.e. LCM of 309,491,695 is 105444705.

GCF of Denominators means GCF of 548,489,697 as per the given fractions.

GCF of 548,489,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,491,695

LCM of Fractions 309/548,491/489,695/697 is 105444705

Given numbers has no common factors except 1. So, there LCM is their product i.e 105444705

Least Common Multiple of 309,491,695 with GCF Formula

Least Common Multiple of 309,491,695 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 309,491,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,491,695) = 1

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

GCF(309,491,695) x common factors =1 x 1 = 1

LCM(309,491,695) = ( 309 × 491 × 695 ) / 1

LCM(309,491,695) = 105444705 / 1

LCM(309,491,695) = 105444705


Lets's calculate GCF of 548,489,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105444705/1

Therefore the LCM of Fractions 309/548,491/489,695/697 is 105444705

Greatest Common Factor of 548,489,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,489,697 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 548,489,697 . The biggest common factor number is the GCF number.
So the greatest common factor 548,489,697 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 309/548, 491/489, 695/697

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 309/548, 491/489, 695/697?

Answer: LCM of Numerators as per given numbers 309/548, 491/489, 695/697 is

LCM of Numerators i.e. for 309,491,695 is 105444705

GCF of denominators i.e. for 548,489,697 is 1.

Thus, LCM of Fractions is 105444705.Finally, LCM of Fractions for 309/548, 491/489, 695/697 is 105444705.