Least Common Multiple of 268/245, 923/298, 705/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/245, 923/298, 705/441 quickly i.e. 174391620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/245, 923/298, 705/441 is 174391620.

LCM(268/245, 923/298, 705/441) = 174391620

LCM of 268/245, 923/298, 705/441

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 268/245,923/298,705/441

Given numbers are 268/245,923/298,705/441

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 268,923,705

Least Common Multiple of Numerators i.e. LCM of 268,923,705 is 174391620.

GCF of Denominators means GCF of 245,298,441 as per the given fractions.

GCF of 245,298,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,923,705

LCM of Fractions 268/245,923/298,705/441 is 174391620

Given numbers has no common factors except 1. So, there LCM is their product i.e 174391620

Least Common Multiple of 268,923,705 with GCF Formula

Least Common Multiple of 268,923,705 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 268,923,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,923,705) = 1

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

GCF(268,923,705) x common factors =1 x 1 = 1

LCM(268,923,705) = ( 268 × 923 × 705 ) / 1

LCM(268,923,705) = 174391620 / 1

LCM(268,923,705) = 174391620


Lets's calculate GCF of 245,298,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174391620/1

Therefore the LCM of Fractions 268/245,923/298,705/441 is 174391620

Greatest Common Factor of 245,298,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,298,441 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 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 245,298,441 . The biggest common factor number is the GCF number.
So the greatest common factor 245,298,441 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 268/245, 923/298, 705/441

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 268/245, 923/298, 705/441?

Answer: LCM of Numerators as per given numbers 268/245, 923/298, 705/441 is

LCM of Numerators i.e. for 268,923,705 is 174391620

GCF of denominators i.e. for 245,298,441 is 1.

Thus, LCM of Fractions is 174391620.Finally, LCM of Fractions for 268/245, 923/298, 705/441 is 174391620.