Least Common Multiple of 840/84, 388/2708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/84, 388/2708 quickly i.e. 20370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/84, 388/2708 is 20370.

LCM(840/84, 388/2708) = 20370

LCM of 840/84, 388/2708

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 840/84,388/2708

Given numbers are 840/84,388/2708

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 840,388

Least Common Multiple of Numerators i.e. LCM of 840,388 is 81480.

GCF of Denominators means GCF of 84,2708 as per the given fractions.

GCF of 84,2708 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,388

LCM of Fractions 840/84,388/2708 is 20370

2 840, 388
2 420, 194
210, 97

∴ So the LCM of the given numbers is 2 x 2 x 210 x 97 = 81480

Least Common Multiple of 840,388 with GCF Formula

Least Common Multiple of 840,388 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 840,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,388) = 4

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

GCF(840,388) x common factors =4 x 1 = 4

LCM(840,388) = ( 840 × 388 ) / 4

LCM(840,388) = 325920 / 4

LCM(840,388) = 81480


Lets's calculate GCF of 84,2708

2 84, 2708
2 42, 1354
21, 677

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81480/4

Therefore the LCM of Fractions 840/84,388/2708 is 20370

Greatest Common Factor of 84,2708 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,2708 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1,2,4,677,1354,2708

Greatest Common Factor

We found the factors 84,2708 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2708 is 4.


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 840/84, 388/2708

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 840/84, 388/2708?

Answer: LCM of Numerators as per given numbers 840/84, 388/2708 is

LCM of Numerators i.e. for 840,388 is 81480

GCF of denominators i.e. for 84,2708 is 4.

Thus, LCM of Fractions is 20370.Finally, LCM of Fractions for 840/84, 388/2708 is 20370.