Least Common Multiple of 34/80, 16/24, 42/90, 84/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/80, 16/24, 42/90, 84/908 quickly i.e. 2856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/80, 16/24, 42/90, 84/908 is 2856.

LCM(34/80, 16/24, 42/90, 84/908) = 2856

LCM of 34/80, 16/24, 42/90, 84/908

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 34/80,16/24,42/90,84/908

Given numbers are 34/80,16/24,42/90,84/908

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 34,16,42,84

Least Common Multiple of Numerators i.e. LCM of 34,16,42,84 is 5712.

GCF of Denominators means GCF of 80,24,90,908 as per the given fractions.

GCF of 80,24,90,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,16,42,84

LCM of Fractions 34/80,16/24,42/90,84/908 is 2856

2 34, 16, 42, 84
2 17, 8, 21, 42
3 17, 4, 21, 21
7 17, 4, 7, 7
17, 4, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 4 x 1 x 1 = 5712

Least Common Multiple of 34,16,42,84 with GCF Formula

Least Common Multiple of 34,16,42,84 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 34,16,42,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,16,42,84) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(34,16,42,84) x common factors =2 x 168 = 336

LCM(34,16,42,84) = ( 34 × 16 × 42 × 84 ) / 336

LCM(34,16,42,84) = 1919232 / 336

LCM(34,16,42,84) = 5712


Lets's calculate GCF of 80,24,90,908

2 80, 24, 90, 908
40, 12, 45, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5712/2

Therefore the LCM of Fractions 34/80,16/24,42/90,84/908 is 2856

Greatest Common Factor of 80,24,90,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,24,90,908 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 80,24,90,908 . The biggest common factor number is the GCF number.
So the greatest common factor 80,24,90,908 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 34/80, 16/24, 42/90, 84/908

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 34/80, 16/24, 42/90, 84/908?

Answer: LCM of Numerators as per given numbers 34/80, 16/24, 42/90, 84/908 is

LCM of Numerators i.e. for 34,16,42,84 is 5712

GCF of denominators i.e. for 80,24,90,908 is 2.

Thus, LCM of Fractions is 2856.Finally, LCM of Fractions for 34/80, 16/24, 42/90, 84/908 is 2856.