Least Common Multiple of 45/319, 39/371, 955/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/319, 39/371, 955/735 quickly i.e. 111735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/319, 39/371, 955/735 is 111735.

LCM(45/319, 39/371, 955/735) = 111735

LCM of 45/319, 39/371, 955/735

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 45/319,39/371,955/735

Given numbers are 45/319,39/371,955/735

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 45,39,955

Least Common Multiple of Numerators i.e. LCM of 45,39,955 is 111735.

GCF of Denominators means GCF of 319,371,735 as per the given fractions.

GCF of 319,371,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,39,955

LCM of Fractions 45/319,39/371,955/735 is 111735

3 45, 39, 955
5 15, 13, 955
3, 13, 191

∴ So the LCM of the given numbers is 3 x 5 x 3 x 13 x 191 = 111735

Least Common Multiple of 45,39,955 with GCF Formula

Least Common Multiple of 45,39,955 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 45,39,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,39,955) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,39,955) x common factors =1 x 15 = 15

LCM(45,39,955) = ( 45 × 39 × 955 ) / 15

LCM(45,39,955) = 1676025 / 15

LCM(45,39,955) = 111735


Lets's calculate GCF of 319,371,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111735/1

Therefore the LCM of Fractions 45/319,39/371,955/735 is 111735

Greatest Common Factor of 319,371,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,371,735 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 319,371,735 . The biggest common factor number is the GCF number.
So the greatest common factor 319,371,735 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 45/319, 39/371, 955/735

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 45/319, 39/371, 955/735?

Answer: LCM of Numerators as per given numbers 45/319, 39/371, 955/735 is

LCM of Numerators i.e. for 45,39,955 is 111735

GCF of denominators i.e. for 319,371,735 is 1.

Thus, LCM of Fractions is 111735.Finally, LCM of Fractions for 45/319, 39/371, 955/735 is 111735.