Least Common Multiple of 214/14, 168/89, 904/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/14, 168/89, 904/801 quickly i.e. 2031288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/14, 168/89, 904/801 is 2031288.

LCM(214/14, 168/89, 904/801) = 2031288

LCM of 214/14, 168/89, 904/801

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 214/14,168/89,904/801

Given numbers are 214/14,168/89,904/801

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 214,168,904

Least Common Multiple of Numerators i.e. LCM of 214,168,904 is 2031288.

GCF of Denominators means GCF of 14,89,801 as per the given fractions.

GCF of 14,89,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,168,904

LCM of Fractions 214/14,168/89,904/801 is 2031288

2 214, 168, 904
2 107, 84, 452
2 107, 42, 226
107, 21, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 21 x 113 = 2031288

Least Common Multiple of 214,168,904 with GCF Formula

Least Common Multiple of 214,168,904 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 214,168,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,168,904) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(214,168,904) x common factors =2 x 8 = 16

LCM(214,168,904) = ( 214 × 168 × 904 ) / 16

LCM(214,168,904) = 32500608 / 16

LCM(214,168,904) = 2031288


Lets's calculate GCF of 14,89,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2031288/1

Therefore the LCM of Fractions 214/14,168/89,904/801 is 2031288

Greatest Common Factor of 14,89,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,89,801 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 14,89,801 . The biggest common factor number is the GCF number.
So the greatest common factor 14,89,801 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 214/14, 168/89, 904/801

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 214/14, 168/89, 904/801?

Answer: LCM of Numerators as per given numbers 214/14, 168/89, 904/801 is

LCM of Numerators i.e. for 214,168,904 is 2031288

GCF of denominators i.e. for 14,89,801 is 1.

Thus, LCM of Fractions is 2031288.Finally, LCM of Fractions for 214/14, 168/89, 904/801 is 2031288.