Least Common Multiple of 210/80, 142/5794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/80, 142/5794 quickly i.e. 7455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/80, 142/5794 is 7455.

LCM(210/80, 142/5794) = 7455

LCM of 210/80, 142/5794

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 210/80,142/5794

Given numbers are 210/80,142/5794

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 210,142

Least Common Multiple of Numerators i.e. LCM of 210,142 is 14910.

GCF of Denominators means GCF of 80,5794 as per the given fractions.

GCF of 80,5794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,142

LCM of Fractions 210/80,142/5794 is 7455

2 210, 142
105, 71

∴ So the LCM of the given numbers is 2 x 105 x 71 = 14910

Least Common Multiple of 210,142 with GCF Formula

Least Common Multiple of 210,142 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 210,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,142) = 2

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

GCF(210,142) x common factors =2 x 1 = 2

LCM(210,142) = ( 210 × 142 ) / 2

LCM(210,142) = 29820 / 2

LCM(210,142) = 14910


Lets's calculate GCF of 80,5794

2 80, 5794
40, 2897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14910/2

Therefore the LCM of Fractions 210/80,142/5794 is 7455

Greatest Common Factor of 80,5794 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,5794 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 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1,2,2897,5794

Greatest Common Factor

We found the factors 80,5794 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5794 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 210/80, 142/5794

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 210/80, 142/5794?

Answer: LCM of Numerators as per given numbers 210/80, 142/5794 is

LCM of Numerators i.e. for 210,142 is 14910

GCF of denominators i.e. for 80,5794 is 2.

Thus, LCM of Fractions is 7455.Finally, LCM of Fractions for 210/80, 142/5794 is 7455.