Least Common Multiple of 210/282, 2642/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/282, 2642/710 quickly i.e. 138705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/282, 2642/710 is 138705.

LCM(210/282, 2642/710) = 138705

LCM of 210/282, 2642/710

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 210/282,2642/710

Given numbers are 210/282,2642/710

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 210,2642

Least Common Multiple of Numerators i.e. LCM of 210,2642 is 277410.

GCF of Denominators means GCF of 282,710 as per the given fractions.

GCF of 282,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,2642

LCM of Fractions 210/282,2642/710 is 138705

2 210, 2642
105, 1321

∴ So the LCM of the given numbers is 2 x 105 x 1321 = 277410

Least Common Multiple of 210,2642 with GCF Formula

Least Common Multiple of 210,2642 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 210,2642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,2642) = 2

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

GCF(210,2642) x common factors =2 x 1 = 2

LCM(210,2642) = ( 210 × 2642 ) / 2

LCM(210,2642) = 554820 / 2

LCM(210,2642) = 277410


Lets's calculate GCF of 282,710

2 282, 710
141, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277410/2

Therefore the LCM of Fractions 210/282,2642/710 is 138705

Greatest Common Factor of 282,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,710 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 282,710 . The biggest common factor number is the GCF number.
So the greatest common factor 282,710 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 210/282, 2642/710

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 210/282, 2642/710?

Answer: LCM of Numerators as per given numbers 210/282, 2642/710 is

LCM of Numerators i.e. for 210,2642 is 277410

GCF of denominators i.e. for 282,710 is 2.

Thus, LCM of Fractions is 138705.Finally, LCM of Fractions for 210/282, 2642/710 is 138705.