Least Common Multiple of 91/475, 936/960, 495/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/475, 936/960, 495/993 quickly i.e. 360360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/475, 936/960, 495/993 is 360360.

LCM(91/475, 936/960, 495/993) = 360360

LCM of 91/475, 936/960, 495/993

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 91/475,936/960,495/993

Given numbers are 91/475,936/960,495/993

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 91,936,495

Least Common Multiple of Numerators i.e. LCM of 91,936,495 is 360360.

GCF of Denominators means GCF of 475,960,993 as per the given fractions.

GCF of 475,960,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,936,495

LCM of Fractions 91/475,936/960,495/993 is 360360

3 91, 936, 495
3 91, 312, 165
13 91, 104, 55
7, 8, 55

∴ So the LCM of the given numbers is 3 x 3 x 13 x 7 x 8 x 55 = 360360

Least Common Multiple of 91,936,495 with GCF Formula

Least Common Multiple of 91,936,495 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 91,936,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,936,495) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(91,936,495) x common factors =1 x 117 = 117

LCM(91,936,495) = ( 91 × 936 × 495 ) / 117

LCM(91,936,495) = 42162120 / 117

LCM(91,936,495) = 360360


Lets's calculate GCF of 475,960,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360360/1

Therefore the LCM of Fractions 91/475,936/960,495/993 is 360360

Greatest Common Factor of 475,960,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,960,993 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 475,960,993 . The biggest common factor number is the GCF number.
So the greatest common factor 475,960,993 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 91/475, 936/960, 495/993

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 91/475, 936/960, 495/993?

Answer: LCM of Numerators as per given numbers 91/475, 936/960, 495/993 is

LCM of Numerators i.e. for 91,936,495 is 360360

GCF of denominators i.e. for 475,960,993 is 1.

Thus, LCM of Fractions is 360360.Finally, LCM of Fractions for 91/475, 936/960, 495/993 is 360360.