Least Common Multiple of 305/385, 456/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/385, 456/697 quickly i.e. 139080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/385, 456/697 is 139080.

LCM(305/385, 456/697) = 139080

LCM of 305/385, 456/697

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 305/385,456/697

Given numbers are 305/385,456/697

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 305,456

Least Common Multiple of Numerators i.e. LCM of 305,456 is 139080.

GCF of Denominators means GCF of 385,697 as per the given fractions.

GCF of 385,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,456

LCM of Fractions 305/385,456/697 is 139080

Given numbers has no common factors except 1. So, there LCM is their product i.e 139080

Least Common Multiple of 305,456 with GCF Formula

Least Common Multiple of 305,456 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 305,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,456) = 1

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

GCF(305,456) x common factors =1 x 1 = 1

LCM(305,456) = ( 305 × 456 ) / 1

LCM(305,456) = 139080 / 1

LCM(305,456) = 139080


Lets's calculate GCF of 385,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139080/1

Therefore the LCM of Fractions 305/385,456/697 is 139080

Greatest Common Factor of 385,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,697 By Matching Biggest Common Factor Method

Factors of 385

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

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

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 385,697 . The biggest common factor number is the GCF number.
So the greatest common factor 385,697 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 305/385, 456/697

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 305/385, 456/697?

Answer: LCM of Numerators as per given numbers 305/385, 456/697 is

LCM of Numerators i.e. for 305,456 is 139080

GCF of denominators i.e. for 385,697 is 1.

Thus, LCM of Fractions is 139080.Finally, LCM of Fractions for 305/385, 456/697 is 139080.