Least Common Multiple of 224/271, 898/382, 508/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/271, 898/382, 508/579 quickly i.e. 12773152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/271, 898/382, 508/579 is 12773152.

LCM(224/271, 898/382, 508/579) = 12773152

LCM of 224/271, 898/382, 508/579

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 224/271,898/382,508/579

Given numbers are 224/271,898/382,508/579

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 224,898,508

Least Common Multiple of Numerators i.e. LCM of 224,898,508 is 12773152.

GCF of Denominators means GCF of 271,382,579 as per the given fractions.

GCF of 271,382,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,898,508

LCM of Fractions 224/271,898/382,508/579 is 12773152

2 224, 898, 508
2 112, 449, 254
56, 449, 127

∴ So the LCM of the given numbers is 2 x 2 x 56 x 449 x 127 = 12773152

Least Common Multiple of 224,898,508 with GCF Formula

Least Common Multiple of 224,898,508 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 224,898,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,898,508) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(224,898,508) x common factors =2 x 4 = 8

LCM(224,898,508) = ( 224 × 898 × 508 ) / 8

LCM(224,898,508) = 102185216 / 8

LCM(224,898,508) = 12773152


Lets's calculate GCF of 271,382,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12773152/1

Therefore the LCM of Fractions 224/271,898/382,508/579 is 12773152

Greatest Common Factor of 271,382,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,382,579 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 271,382,579 . The biggest common factor number is the GCF number.
So the greatest common factor 271,382,579 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 224/271, 898/382, 508/579

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 224/271, 898/382, 508/579?

Answer: LCM of Numerators as per given numbers 224/271, 898/382, 508/579 is

LCM of Numerators i.e. for 224,898,508 is 12773152

GCF of denominators i.e. for 271,382,579 is 1.

Thus, LCM of Fractions is 12773152.Finally, LCM of Fractions for 224/271, 898/382, 508/579 is 12773152.