Least Common Multiple of 214/689, 1800/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/689, 1800/636 quickly i.e. 192600/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/689, 1800/636 is 192600/53.

LCM(214/689, 1800/636) = 192600/53

LCM of 214/689, 1800/636

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 214/689,1800/636

Given numbers are 214/689,1800/636

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 214,1800

Least Common Multiple of Numerators i.e. LCM of 214,1800 is 192600.

GCF of Denominators means GCF of 689,636 as per the given fractions.

GCF of 689,636 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,1800

LCM of Fractions 214/689,1800/636 is 192600/53

2 214, 1800
107, 900

∴ So the LCM of the given numbers is 2 x 107 x 900 = 192600

Least Common Multiple of 214,1800 with GCF Formula

Least Common Multiple of 214,1800 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 214,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,1800) = 2

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

GCF(214,1800) x common factors =2 x 1 = 2

LCM(214,1800) = ( 214 × 1800 ) / 2

LCM(214,1800) = 385200 / 2

LCM(214,1800) = 192600


Lets's calculate GCF of 689,636

53 689, 636
13, 12

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192600/53

Therefore the LCM of Fractions 214/689,1800/636 is 192600/53

Greatest Common Factor of 689,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,636 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 689,636 . The biggest common factor number is the GCF number.
So the greatest common factor 689,636 is 53.


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 214/689, 1800/636

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 214/689, 1800/636?

Answer: LCM of Numerators as per given numbers 214/689, 1800/636 is

LCM of Numerators i.e. for 214,1800 is 192600

GCF of denominators i.e. for 689,636 is 53.

Thus, LCM of Fractions is 192600/53.Finally, LCM of Fractions for 214/689, 1800/636 is 192600/53.