Least Common Multiple of 35/83, 388/71, 214/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/83, 388/71, 214/187 quickly i.e. 1453060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/83, 388/71, 214/187 is 1453060.

LCM(35/83, 388/71, 214/187) = 1453060

LCM of 35/83, 388/71, 214/187

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 35/83,388/71,214/187

Given numbers are 35/83,388/71,214/187

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 35,388,214

Least Common Multiple of Numerators i.e. LCM of 35,388,214 is 1453060.

GCF of Denominators means GCF of 83,71,187 as per the given fractions.

GCF of 83,71,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,388,214

LCM of Fractions 35/83,388/71,214/187 is 1453060

2 35, 388, 214
35, 194, 107

∴ So the LCM of the given numbers is 2 x 35 x 194 x 107 = 1453060

Least Common Multiple of 35,388,214 with GCF Formula

Least Common Multiple of 35,388,214 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 35,388,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,388,214) = 1

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

GCF(35,388,214) x common factors =1 x 2 = 2

LCM(35,388,214) = ( 35 × 388 × 214 ) / 2

LCM(35,388,214) = 2906120 / 2

LCM(35,388,214) = 1453060


Lets's calculate GCF of 83,71,187

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1453060/1

Therefore the LCM of Fractions 35/83,388/71,214/187 is 1453060

Greatest Common Factor of 83,71,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,71,187 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 83,71,187 . The biggest common factor number is the GCF number.
So the greatest common factor 83,71,187 is 1.


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 35/83, 388/71, 214/187

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 35/83, 388/71, 214/187?

Answer: LCM of Numerators as per given numbers 35/83, 388/71, 214/187 is

LCM of Numerators i.e. for 35,388,214 is 1453060

GCF of denominators i.e. for 83,71,187 is 1.

Thus, LCM of Fractions is 1453060.Finally, LCM of Fractions for 35/83, 388/71, 214/187 is 1453060.