Least Common Multiple of 34/44, 21/14, 43/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/44, 21/14, 43/375 quickly i.e. 30702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/44, 21/14, 43/375 is 30702.

LCM(34/44, 21/14, 43/375) = 30702

LCM of 34/44, 21/14, 43/375

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 34/44,21/14,43/375

Given numbers are 34/44,21/14,43/375

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 34,21,43

Least Common Multiple of Numerators i.e. LCM of 34,21,43 is 30702.

GCF of Denominators means GCF of 44,14,375 as per the given fractions.

GCF of 44,14,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,21,43

LCM of Fractions 34/44,21/14,43/375 is 30702

Given numbers has no common factors except 1. So, there LCM is their product i.e 30702

Least Common Multiple of 34,21,43 with GCF Formula

Least Common Multiple of 34,21,43 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 34,21,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,21,43) = 1

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

GCF(34,21,43) x common factors =1 x 1 = 1

LCM(34,21,43) = ( 34 × 21 × 43 ) / 1

LCM(34,21,43) = 30702 / 1

LCM(34,21,43) = 30702


Lets's calculate GCF of 44,14,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30702/1

Therefore the LCM of Fractions 34/44,21/14,43/375 is 30702

Greatest Common Factor of 44,14,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,14,375 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 14

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

1,2,7,14

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 44,14,375 . The biggest common factor number is the GCF number.
So the greatest common factor 44,14,375 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 34/44, 21/14, 43/375

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 34/44, 21/14, 43/375?

Answer: LCM of Numerators as per given numbers 34/44, 21/14, 43/375 is

LCM of Numerators i.e. for 34,21,43 is 30702

GCF of denominators i.e. for 44,14,375 is 1.

Thus, LCM of Fractions is 30702.Finally, LCM of Fractions for 34/44, 21/14, 43/375 is 30702.