Least Common Multiple of 43/941, 55/533, 144/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/941, 55/533, 144/827 quickly i.e. 340560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/941, 55/533, 144/827 is 340560.

LCM(43/941, 55/533, 144/827) = 340560

LCM of 43/941, 55/533, 144/827

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 43/941,55/533,144/827

Given numbers are 43/941,55/533,144/827

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 43,55,144

Least Common Multiple of Numerators i.e. LCM of 43,55,144 is 340560.

GCF of Denominators means GCF of 941,533,827 as per the given fractions.

GCF of 941,533,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,55,144

LCM of Fractions 43/941,55/533,144/827 is 340560

Given numbers has no common factors except 1. So, there LCM is their product i.e 340560

Least Common Multiple of 43,55,144 with GCF Formula

Least Common Multiple of 43,55,144 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 43,55,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,55,144) = 1

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

GCF(43,55,144) x common factors =1 x 1 = 1

LCM(43,55,144) = ( 43 × 55 × 144 ) / 1

LCM(43,55,144) = 340560 / 1

LCM(43,55,144) = 340560


Lets's calculate GCF of 941,533,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340560/1

Therefore the LCM of Fractions 43/941,55/533,144/827 is 340560

Greatest Common Factor of 941,533,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,533,827 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 941,533,827 . The biggest common factor number is the GCF number.
So the greatest common factor 941,533,827 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 43/941, 55/533, 144/827

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 43/941, 55/533, 144/827?

Answer: LCM of Numerators as per given numbers 43/941, 55/533, 144/827 is

LCM of Numerators i.e. for 43,55,144 is 340560

GCF of denominators i.e. for 941,533,827 is 1.

Thus, LCM of Fractions is 340560.Finally, LCM of Fractions for 43/941, 55/533, 144/827 is 340560.