Least Common Multiple of 14/31, 243/38, 975/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/31, 243/38, 975/814 quickly i.e. 1105650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/31, 243/38, 975/814 is 1105650.

LCM(14/31, 243/38, 975/814) = 1105650

LCM of 14/31, 243/38, 975/814

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 14/31,243/38,975/814

Given numbers are 14/31,243/38,975/814

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 14,243,975

Least Common Multiple of Numerators i.e. LCM of 14,243,975 is 1105650.

GCF of Denominators means GCF of 31,38,814 as per the given fractions.

GCF of 31,38,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,243,975

LCM of Fractions 14/31,243/38,975/814 is 1105650

3 14, 243, 975
14, 81, 325

∴ So the LCM of the given numbers is 3 x 14 x 81 x 325 = 1105650

Least Common Multiple of 14,243,975 with GCF Formula

Least Common Multiple of 14,243,975 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 14,243,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,243,975) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(14,243,975) x common factors =1 x 3 = 3

LCM(14,243,975) = ( 14 × 243 × 975 ) / 3

LCM(14,243,975) = 3316950 / 3

LCM(14,243,975) = 1105650


Lets's calculate GCF of 31,38,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1105650/1

Therefore the LCM of Fractions 14/31,243/38,975/814 is 1105650

Greatest Common Factor of 31,38,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,38,814 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 31,38,814 . The biggest common factor number is the GCF number.
So the greatest common factor 31,38,814 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/31, 243/38, 975/814

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 14/31, 243/38, 975/814?

Answer: LCM of Numerators as per given numbers 14/31, 243/38, 975/814 is

LCM of Numerators i.e. for 14,243,975 is 1105650

GCF of denominators i.e. for 31,38,814 is 1.

Thus, LCM of Fractions is 1105650.Finally, LCM of Fractions for 14/31, 243/38, 975/814 is 1105650.