Least Common Multiple of 214/325, 4363/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/325, 4363/300 quickly i.e. 933682/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/325, 4363/300 is 933682/25.

LCM(214/325, 4363/300) = 933682/25

LCM of 214/325, 4363/300

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 214/325,4363/300

Given numbers are 214/325,4363/300

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 214,4363

Least Common Multiple of Numerators i.e. LCM of 214,4363 is 933682.

GCF of Denominators means GCF of 325,300 as per the given fractions.

GCF of 325,300 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,4363

LCM of Fractions 214/325,4363/300 is 933682/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 933682

Least Common Multiple of 214,4363 with GCF Formula

Least Common Multiple of 214,4363 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 214,4363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,4363) = 1

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

GCF(214,4363) x common factors =1 x 1 = 1

LCM(214,4363) = ( 214 × 4363 ) / 1

LCM(214,4363) = 933682 / 1

LCM(214,4363) = 933682


Lets's calculate GCF of 325,300

5 325, 300
5 65, 60
13, 12

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 933682/25

Therefore the LCM of Fractions 214/325,4363/300 is 933682/25

Greatest Common Factor of 325,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,300 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 325,300 . The biggest common factor number is the GCF number.
So the greatest common factor 325,300 is 25.


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 214/325, 4363/300

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 214/325, 4363/300?

Answer: LCM of Numerators as per given numbers 214/325, 4363/300 is

LCM of Numerators i.e. for 214,4363 is 933682

GCF of denominators i.e. for 325,300 is 25.

Thus, LCM of Fractions is 933682/25.Finally, LCM of Fractions for 214/325, 4363/300 is 933682/25.