Least Common Multiple of 305/245, 767/753, 609/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/245, 767/753, 609/231 quickly i.e. 142466415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/245, 767/753, 609/231 is 142466415.

LCM(305/245, 767/753, 609/231) = 142466415

LCM of 305/245, 767/753, 609/231

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 305/245,767/753,609/231

Given numbers are 305/245,767/753,609/231

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 305,767,609

Least Common Multiple of Numerators i.e. LCM of 305,767,609 is 142466415.

GCF of Denominators means GCF of 245,753,231 as per the given fractions.

GCF of 245,753,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,767,609

LCM of Fractions 305/245,767/753,609/231 is 142466415

Given numbers has no common factors except 1. So, there LCM is their product i.e 142466415

Least Common Multiple of 305,767,609 with GCF Formula

Least Common Multiple of 305,767,609 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 305,767,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,767,609) = 1

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

GCF(305,767,609) x common factors =1 x 1 = 1

LCM(305,767,609) = ( 305 × 767 × 609 ) / 1

LCM(305,767,609) = 142466415 / 1

LCM(305,767,609) = 142466415


Lets's calculate GCF of 245,753,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142466415/1

Therefore the LCM of Fractions 305/245,767/753,609/231 is 142466415

Greatest Common Factor of 245,753,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,753,231 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 245,753,231 . The biggest common factor number is the GCF number.
So the greatest common factor 245,753,231 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 305/245, 767/753, 609/231

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 305/245, 767/753, 609/231?

Answer: LCM of Numerators as per given numbers 305/245, 767/753, 609/231 is

LCM of Numerators i.e. for 305,767,609 is 142466415

GCF of denominators i.e. for 245,753,231 is 1.

Thus, LCM of Fractions is 142466415.Finally, LCM of Fractions for 305/245, 767/753, 609/231 is 142466415.