Least Common Multiple of 223/638, 952/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 223/638, 952/385 quickly i.e. 212296/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/638, 952/385 is 212296/11.

LCM(223/638, 952/385) = 212296/11

LCM of 223/638, 952/385

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 223/638,952/385

Given numbers are 223/638,952/385

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 223,952

Least Common Multiple of Numerators i.e. LCM of 223,952 is 212296.

GCF of Denominators means GCF of 638,385 as per the given fractions.

GCF of 638,385 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,952

LCM of Fractions 223/638,952/385 is 212296/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 212296

Least Common Multiple of 223,952 with GCF Formula

Least Common Multiple of 223,952 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 223,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,952) = 1

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

GCF(223,952) x common factors =1 x 1 = 1

LCM(223,952) = ( 223 × 952 ) / 1

LCM(223,952) = 212296 / 1

LCM(223,952) = 212296


Lets's calculate GCF of 638,385

11 638, 385
58, 35

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212296/11

Therefore the LCM of Fractions 223/638,952/385 is 212296/11

Greatest Common Factor of 638,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,385 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 638,385 . The biggest common factor number is the GCF number.
So the greatest common factor 638,385 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 223/638, 952/385

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 223/638, 952/385?

Answer: LCM of Numerators as per given numbers 223/638, 952/385 is

LCM of Numerators i.e. for 223,952 is 212296

GCF of denominators i.e. for 638,385 is 11.

Thus, LCM of Fractions is 212296/11.Finally, LCM of Fractions for 223/638, 952/385 is 212296/11.