Least Common Multiple of 223/420, 2124/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/420, 2124/140 quickly i.e. 473652/140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/420, 2124/140 is 473652/140.

LCM(223/420, 2124/140) = 473652/140

LCM of 223/420, 2124/140

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 223/420,2124/140

Given numbers are 223/420,2124/140

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 223,2124

Least Common Multiple of Numerators i.e. LCM of 223,2124 is 473652.

GCF of Denominators means GCF of 420,140 as per the given fractions.

GCF of 420,140 is 140 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,2124

LCM of Fractions 223/420,2124/140 is 473652/140

Given numbers has no common factors except 1. So, there LCM is their product i.e 473652

Least Common Multiple of 223,2124 with GCF Formula

Least Common Multiple of 223,2124 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 223,2124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,2124) = 1

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

GCF(223,2124) x common factors =1 x 1 = 1

LCM(223,2124) = ( 223 × 2124 ) / 1

LCM(223,2124) = 473652 / 1

LCM(223,2124) = 473652


Lets's calculate GCF of 420,140

2 420, 140
2 210, 70
5 105, 35
7 21, 7
3, 1

∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473652/140

Therefore the LCM of Fractions 223/420,2124/140 is 473652/140

Greatest Common Factor of 420,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,140 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 420,140 . The biggest common factor number is the GCF number.
So the greatest common factor 420,140 is 140.


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 223/420, 2124/140

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 223/420, 2124/140?

Answer: LCM of Numerators as per given numbers 223/420, 2124/140 is

LCM of Numerators i.e. for 223,2124 is 473652

GCF of denominators i.e. for 420,140 is 140.

Thus, LCM of Fractions is 473652/140.Finally, LCM of Fractions for 223/420, 2124/140 is 473652/140.