Least Common Multiple of 224/44, 541/93, 801/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/44, 541/93, 801/144 quickly i.e. 97068384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/44, 541/93, 801/144 is 97068384.

LCM(224/44, 541/93, 801/144) = 97068384

LCM of 224/44, 541/93, 801/144

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 224/44,541/93,801/144

Given numbers are 224/44,541/93,801/144

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 224,541,801

Least Common Multiple of Numerators i.e. LCM of 224,541,801 is 97068384.

GCF of Denominators means GCF of 44,93,144 as per the given fractions.

GCF of 44,93,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,541,801

LCM of Fractions 224/44,541/93,801/144 is 97068384

Given numbers has no common factors except 1. So, there LCM is their product i.e 97068384

Least Common Multiple of 224,541,801 with GCF Formula

Least Common Multiple of 224,541,801 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 224,541,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,541,801) = 1

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

GCF(224,541,801) x common factors =1 x 1 = 1

LCM(224,541,801) = ( 224 × 541 × 801 ) / 1

LCM(224,541,801) = 97068384 / 1

LCM(224,541,801) = 97068384


Lets's calculate GCF of 44,93,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97068384/1

Therefore the LCM of Fractions 224/44,541/93,801/144 is 97068384

Greatest Common Factor of 44,93,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,93,144 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 44,93,144 . The biggest common factor number is the GCF number.
So the greatest common factor 44,93,144 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 224/44, 541/93, 801/144

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 224/44, 541/93, 801/144?

Answer: LCM of Numerators as per given numbers 224/44, 541/93, 801/144 is

LCM of Numerators i.e. for 224,541,801 is 97068384

GCF of denominators i.e. for 44,93,144 is 1.

Thus, LCM of Fractions is 97068384.Finally, LCM of Fractions for 224/44, 541/93, 801/144 is 97068384.