Least Common Multiple of 346/47, 532/11, 445/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 346/47, 532/11, 445/275 quickly i.e. 40956020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/47, 532/11, 445/275 is 40956020.

LCM(346/47, 532/11, 445/275) = 40956020

LCM of 346/47, 532/11, 445/275

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 346/47,532/11,445/275

Given numbers are 346/47,532/11,445/275

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 346,532,445

Least Common Multiple of Numerators i.e. LCM of 346,532,445 is 40956020.

GCF of Denominators means GCF of 47,11,275 as per the given fractions.

GCF of 47,11,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,532,445

LCM of Fractions 346/47,532/11,445/275 is 40956020

2 346, 532, 445
173, 266, 445

∴ So the LCM of the given numbers is 2 x 173 x 266 x 445 = 40956020

Least Common Multiple of 346,532,445 with GCF Formula

Least Common Multiple of 346,532,445 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 346,532,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,532,445) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(346,532,445) x common factors =1 x 2 = 2

LCM(346,532,445) = ( 346 × 532 × 445 ) / 2

LCM(346,532,445) = 81912040 / 2

LCM(346,532,445) = 40956020


Lets's calculate GCF of 47,11,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40956020/1

Therefore the LCM of Fractions 346/47,532/11,445/275 is 40956020

Greatest Common Factor of 47,11,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,11,275 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 47,11,275 . The biggest common factor number is the GCF number.
So the greatest common factor 47,11,275 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 346/47, 532/11, 445/275

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 346/47, 532/11, 445/275?

Answer: LCM of Numerators as per given numbers 346/47, 532/11, 445/275 is

LCM of Numerators i.e. for 346,532,445 is 40956020

GCF of denominators i.e. for 47,11,275 is 1.

Thus, LCM of Fractions is 40956020.Finally, LCM of Fractions for 346/47, 532/11, 445/275 is 40956020.