Least Common Multiple of 32/76, 36/95, 829/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/76, 36/95, 829/514 quickly i.e. 238752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/76, 36/95, 829/514 is 238752.

LCM(32/76, 36/95, 829/514) = 238752

LCM of 32/76, 36/95, 829/514

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 32/76,36/95,829/514

Given numbers are 32/76,36/95,829/514

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 32,36,829

Least Common Multiple of Numerators i.e. LCM of 32,36,829 is 238752.

GCF of Denominators means GCF of 76,95,514 as per the given fractions.

GCF of 76,95,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,36,829

LCM of Fractions 32/76,36/95,829/514 is 238752

2 32, 36, 829
2 16, 18, 829
8, 9, 829

∴ So the LCM of the given numbers is 2 x 2 x 8 x 9 x 829 = 238752

Least Common Multiple of 32,36,829 with GCF Formula

Least Common Multiple of 32,36,829 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 32,36,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,36,829) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,36,829) x common factors =1 x 4 = 4

LCM(32,36,829) = ( 32 × 36 × 829 ) / 4

LCM(32,36,829) = 955008 / 4

LCM(32,36,829) = 238752


Lets's calculate GCF of 76,95,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238752/1

Therefore the LCM of Fractions 32/76,36/95,829/514 is 238752

Greatest Common Factor of 76,95,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,95,514 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 76,95,514 . The biggest common factor number is the GCF number.
So the greatest common factor 76,95,514 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 32/76, 36/95, 829/514

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 32/76, 36/95, 829/514?

Answer: LCM of Numerators as per given numbers 32/76, 36/95, 829/514 is

LCM of Numerators i.e. for 32,36,829 is 238752

GCF of denominators i.e. for 76,95,514 is 1.

Thus, LCM of Fractions is 238752.Finally, LCM of Fractions for 32/76, 36/95, 829/514 is 238752.