Least Common Multiple of 16/32, 34/34, 761/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/32, 34/34, 761/822 quickly i.e. 103496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/32, 34/34, 761/822 is 103496.

LCM(16/32, 34/34, 761/822) = 103496

LCM of 16/32, 34/34, 761/822

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 16/32,34/34,761/822

Given numbers are 16/32,34/34,761/822

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 16,34,761

Least Common Multiple of Numerators i.e. LCM of 16,34,761 is 206992.

GCF of Denominators means GCF of 32,34,822 as per the given fractions.

GCF of 32,34,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,34,761

LCM of Fractions 16/32,34/34,761/822 is 103496

2 16, 34, 761
8, 17, 761

∴ So the LCM of the given numbers is 2 x 8 x 17 x 761 = 206992

Least Common Multiple of 16,34,761 with GCF Formula

Least Common Multiple of 16,34,761 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 16,34,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,34,761) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,34,761) x common factors =1 x 2 = 2

LCM(16,34,761) = ( 16 × 34 × 761 ) / 2

LCM(16,34,761) = 413984 / 2

LCM(16,34,761) = 206992


Lets's calculate GCF of 32,34,822

2 32, 34, 822
16, 17, 411

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206992/2

Therefore the LCM of Fractions 16/32,34/34,761/822 is 103496

Greatest Common Factor of 32,34,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,34,822 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 32,34,822 . The biggest common factor number is the GCF number.
So the greatest common factor 32,34,822 is 2.


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 16/32, 34/34, 761/822

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 16/32, 34/34, 761/822?

Answer: LCM of Numerators as per given numbers 16/32, 34/34, 761/822 is

LCM of Numerators i.e. for 16,34,761 is 206992

GCF of denominators i.e. for 32,34,822 is 2.

Thus, LCM of Fractions is 103496.Finally, LCM of Fractions for 16/32, 34/34, 761/822 is 103496.