Least Common Multiple of 305/553, 385/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/553, 385/438 quickly i.e. 23485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/553, 385/438 is 23485.

LCM(305/553, 385/438) = 23485

LCM of 305/553, 385/438

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 305/553,385/438

Given numbers are 305/553,385/438

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 305,385

Least Common Multiple of Numerators i.e. LCM of 305,385 is 23485.

GCF of Denominators means GCF of 553,438 as per the given fractions.

GCF of 553,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,385

LCM of Fractions 305/553,385/438 is 23485

5 305, 385
61, 77

∴ So the LCM of the given numbers is 5 x 61 x 77 = 23485

Least Common Multiple of 305,385 with GCF Formula

Least Common Multiple of 305,385 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 305,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,385) = 5

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

GCF(305,385) x common factors =5 x 1 = 5

LCM(305,385) = ( 305 × 385 ) / 5

LCM(305,385) = 117425 / 5

LCM(305,385) = 23485


Lets's calculate GCF of 553,438

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23485/1

Therefore the LCM of Fractions 305/553,385/438 is 23485

Greatest Common Factor of 553,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,438 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 553,438 . The biggest common factor number is the GCF number.
So the greatest common factor 553,438 is 1.


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 305/553, 385/438

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 305/553, 385/438?

Answer: LCM of Numerators as per given numbers 305/553, 385/438 is

LCM of Numerators i.e. for 305,385 is 23485

GCF of denominators i.e. for 553,438 is 1.

Thus, LCM of Fractions is 23485.Finally, LCM of Fractions for 305/553, 385/438 is 23485.