Least Common Multiple of 37/923, 14/521, 504/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/923, 14/521, 504/119 quickly i.e. 18648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/923, 14/521, 504/119 is 18648.

LCM(37/923, 14/521, 504/119) = 18648

LCM of 37/923, 14/521, 504/119

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 37/923,14/521,504/119

Given numbers are 37/923,14/521,504/119

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 37,14,504

Least Common Multiple of Numerators i.e. LCM of 37,14,504 is 18648.

GCF of Denominators means GCF of 923,521,119 as per the given fractions.

GCF of 923,521,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,14,504

LCM of Fractions 37/923,14/521,504/119 is 18648

2 37, 14, 504
7 37, 7, 252
37, 1, 36

∴ So the LCM of the given numbers is 2 x 7 x 37 x 1 x 36 = 18648

Least Common Multiple of 37,14,504 with GCF Formula

Least Common Multiple of 37,14,504 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 37,14,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,14,504) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(37,14,504) x common factors =1 x 14 = 14

LCM(37,14,504) = ( 37 × 14 × 504 ) / 14

LCM(37,14,504) = 261072 / 14

LCM(37,14,504) = 18648


Lets's calculate GCF of 923,521,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18648/1

Therefore the LCM of Fractions 37/923,14/521,504/119 is 18648

Greatest Common Factor of 923,521,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,521,119 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 923,521,119 . The biggest common factor number is the GCF number.
So the greatest common factor 923,521,119 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 37/923, 14/521, 504/119

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 37/923, 14/521, 504/119?

Answer: LCM of Numerators as per given numbers 37/923, 14/521, 504/119 is

LCM of Numerators i.e. for 37,14,504 is 18648

GCF of denominators i.e. for 923,521,119 is 1.

Thus, LCM of Fractions is 18648.Finally, LCM of Fractions for 37/923, 14/521, 504/119 is 18648.