Least Common Multiple of 746/382, 170/436, 718/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/382, 170/436, 718/916 quickly i.e. 11382095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/382, 170/436, 718/916 is 11382095.

LCM(746/382, 170/436, 718/916) = 11382095

LCM of 746/382, 170/436, 718/916

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 746/382,170/436,718/916

Given numbers are 746/382,170/436,718/916

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 746,170,718

Least Common Multiple of Numerators i.e. LCM of 746,170,718 is 22764190.

GCF of Denominators means GCF of 382,436,916 as per the given fractions.

GCF of 382,436,916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,170,718

LCM of Fractions 746/382,170/436,718/916 is 11382095

2 746, 170, 718
373, 85, 359

∴ So the LCM of the given numbers is 2 x 373 x 85 x 359 = 22764190

Least Common Multiple of 746,170,718 with GCF Formula

Least Common Multiple of 746,170,718 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 746,170,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,170,718) = 2

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

GCF(746,170,718) x common factors =2 x 2 = 4

LCM(746,170,718) = ( 746 × 170 × 718 ) / 4

LCM(746,170,718) = 91056760 / 4

LCM(746,170,718) = 22764190


Lets's calculate GCF of 382,436,916

2 382, 436, 916
191, 218, 458

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22764190/2

Therefore the LCM of Fractions 746/382,170/436,718/916 is 11382095

Greatest Common Factor of 382,436,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,436,916 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 382,436,916 . The biggest common factor number is the GCF number.
So the greatest common factor 382,436,916 is 2.


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 746/382, 170/436, 718/916

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 746/382, 170/436, 718/916?

Answer: LCM of Numerators as per given numbers 746/382, 170/436, 718/916 is

LCM of Numerators i.e. for 746,170,718 is 22764190

GCF of denominators i.e. for 382,436,916 is 2.

Thus, LCM of Fractions is 11382095.Finally, LCM of Fractions for 746/382, 170/436, 718/916 is 11382095.