Least Common Multiple of 32/69, 17/24, 49/43, 71/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/69, 17/24, 49/43, 71/787 quickly i.e. 1892576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/69, 17/24, 49/43, 71/787 is 1892576.

LCM(32/69, 17/24, 49/43, 71/787) = 1892576

LCM of 32/69, 17/24, 49/43, 71/787

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 32/69,17/24,49/43,71/787

Given numbers are 32/69,17/24,49/43,71/787

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 32,17,49,71

Least Common Multiple of Numerators i.e. LCM of 32,17,49,71 is 1892576.

GCF of Denominators means GCF of 69,24,43,787 as per the given fractions.

GCF of 69,24,43,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,17,49,71

LCM of Fractions 32/69,17/24,49/43,71/787 is 1892576

Given numbers has no common factors except 1. So, there LCM is their product i.e 1892576

Least Common Multiple of 32,17,49,71 with GCF Formula

Least Common Multiple of 32,17,49,71 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 32,17,49,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,17,49,71) = 1

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

GCF(32,17,49,71) x common factors =1 x 1 = 1

LCM(32,17,49,71) = ( 32 × 17 × 49 × 71 ) / 1

LCM(32,17,49,71) = 1892576 / 1

LCM(32,17,49,71) = 1892576


Lets's calculate GCF of 69,24,43,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1892576/1

Therefore the LCM of Fractions 32/69,17/24,49/43,71/787 is 1892576

Greatest Common Factor of 69,24,43,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,24,43,787 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 69,24,43,787 . The biggest common factor number is the GCF number.
So the greatest common factor 69,24,43,787 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 32/69, 17/24, 49/43, 71/787

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 32/69, 17/24, 49/43, 71/787?

Answer: LCM of Numerators as per given numbers 32/69, 17/24, 49/43, 71/787 is

LCM of Numerators i.e. for 32,17,49,71 is 1892576

GCF of denominators i.e. for 69,24,43,787 is 1.

Thus, LCM of Fractions is 1892576.Finally, LCM of Fractions for 32/69, 17/24, 49/43, 71/787 is 1892576.