Least Common Multiple of 901/420, 223/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 901/420, 223/690 quickly i.e. 200923/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/420, 223/690 is 200923/30.

LCM(901/420, 223/690) = 200923/30

LCM of 901/420, 223/690

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 901/420,223/690

Given numbers are 901/420,223/690

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 901,223

Least Common Multiple of Numerators i.e. LCM of 901,223 is 200923.

GCF of Denominators means GCF of 420,690 as per the given fractions.

GCF of 420,690 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,223

LCM of Fractions 901/420,223/690 is 200923/30

Given numbers has no common factors except 1. So, there LCM is their product i.e 200923

Least Common Multiple of 901,223 with GCF Formula

Least Common Multiple of 901,223 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 901,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,223) = 1

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

GCF(901,223) x common factors =1 x 1 = 1

LCM(901,223) = ( 901 × 223 ) / 1

LCM(901,223) = 200923 / 1

LCM(901,223) = 200923


Lets's calculate GCF of 420,690

2 420, 690
3 210, 345
5 70, 115
14, 23

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200923/30

Therefore the LCM of Fractions 901/420,223/690 is 200923/30

Greatest Common Factor of 420,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,690 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 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 420,690 . The biggest common factor number is the GCF number.
So the greatest common factor 420,690 is 30.


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 901/420, 223/690

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 901/420, 223/690?

Answer: LCM of Numerators as per given numbers 901/420, 223/690 is

LCM of Numerators i.e. for 901,223 is 200923

GCF of denominators i.e. for 420,690 is 30.

Thus, LCM of Fractions is 200923/30.Finally, LCM of Fractions for 901/420, 223/690 is 200923/30.