Least Common Multiple of 750/93, 184/31, 338/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/93, 184/31, 338/726 quickly i.e. 11661000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/93, 184/31, 338/726 is 11661000.

LCM(750/93, 184/31, 338/726) = 11661000

LCM of 750/93, 184/31, 338/726

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 750/93,184/31,338/726

Given numbers are 750/93,184/31,338/726

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 750,184,338

Least Common Multiple of Numerators i.e. LCM of 750,184,338 is 11661000.

GCF of Denominators means GCF of 93,31,726 as per the given fractions.

GCF of 93,31,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,184,338

LCM of Fractions 750/93,184/31,338/726 is 11661000

2 750, 184, 338
375, 92, 169

∴ So the LCM of the given numbers is 2 x 375 x 92 x 169 = 11661000

Least Common Multiple of 750,184,338 with GCF Formula

Least Common Multiple of 750,184,338 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 750,184,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,184,338) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(750,184,338) x common factors =2 x 2 = 4

LCM(750,184,338) = ( 750 × 184 × 338 ) / 4

LCM(750,184,338) = 46644000 / 4

LCM(750,184,338) = 11661000


Lets's calculate GCF of 93,31,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11661000/1

Therefore the LCM of Fractions 750/93,184/31,338/726 is 11661000

Greatest Common Factor of 93,31,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,31,726 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 93,31,726 . The biggest common factor number is the GCF number.
So the greatest common factor 93,31,726 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 750/93, 184/31, 338/726

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 750/93, 184/31, 338/726?

Answer: LCM of Numerators as per given numbers 750/93, 184/31, 338/726 is

LCM of Numerators i.e. for 750,184,338 is 11661000

GCF of denominators i.e. for 93,31,726 is 1.

Thus, LCM of Fractions is 11661000.Finally, LCM of Fractions for 750/93, 184/31, 338/726 is 11661000.