Least Common Multiple of 34/47, 58/14, 372/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/47, 58/14, 372/452 quickly i.e. 183396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/47, 58/14, 372/452 is 183396.

LCM(34/47, 58/14, 372/452) = 183396

LCM of 34/47, 58/14, 372/452

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 34/47,58/14,372/452

Given numbers are 34/47,58/14,372/452

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 34,58,372

Least Common Multiple of Numerators i.e. LCM of 34,58,372 is 183396.

GCF of Denominators means GCF of 47,14,452 as per the given fractions.

GCF of 47,14,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,58,372

LCM of Fractions 34/47,58/14,372/452 is 183396

2 34, 58, 372
17, 29, 186

∴ So the LCM of the given numbers is 2 x 17 x 29 x 186 = 183396

Least Common Multiple of 34,58,372 with GCF Formula

Least Common Multiple of 34,58,372 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 34,58,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,58,372) = 2

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

GCF(34,58,372) x common factors =2 x 2 = 4

LCM(34,58,372) = ( 34 × 58 × 372 ) / 4

LCM(34,58,372) = 733584 / 4

LCM(34,58,372) = 183396


Lets's calculate GCF of 47,14,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183396/1

Therefore the LCM of Fractions 34/47,58/14,372/452 is 183396

Greatest Common Factor of 47,14,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,14,452 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 47,14,452 . The biggest common factor number is the GCF number.
So the greatest common factor 47,14,452 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/47, 58/14, 372/452

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 34/47, 58/14, 372/452?

Answer: LCM of Numerators as per given numbers 34/47, 58/14, 372/452 is

LCM of Numerators i.e. for 34,58,372 is 183396

GCF of denominators i.e. for 47,14,452 is 1.

Thus, LCM of Fractions is 183396.Finally, LCM of Fractions for 34/47, 58/14, 372/452 is 183396.