Least Common Multiple of 41/328, 44/110, 786/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/328, 44/110, 786/714 quickly i.e. 354486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/328, 44/110, 786/714 is 354486.

LCM(41/328, 44/110, 786/714) = 354486

LCM of 41/328, 44/110, 786/714

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 41/328,44/110,786/714

Given numbers are 41/328,44/110,786/714

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 41,44,786

Least Common Multiple of Numerators i.e. LCM of 41,44,786 is 708972.

GCF of Denominators means GCF of 328,110,714 as per the given fractions.

GCF of 328,110,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,44,786

LCM of Fractions 41/328,44/110,786/714 is 354486

2 41, 44, 786
41, 22, 393

∴ So the LCM of the given numbers is 2 x 41 x 22 x 393 = 708972

Least Common Multiple of 41,44,786 with GCF Formula

Least Common Multiple of 41,44,786 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 41,44,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,44,786) = 1

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

GCF(41,44,786) x common factors =1 x 2 = 2

LCM(41,44,786) = ( 41 × 44 × 786 ) / 2

LCM(41,44,786) = 1417944 / 2

LCM(41,44,786) = 708972


Lets's calculate GCF of 328,110,714

2 328, 110, 714
164, 55, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 708972/2

Therefore the LCM of Fractions 41/328,44/110,786/714 is 354486

Greatest Common Factor of 328,110,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,110,714 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 328,110,714 . The biggest common factor number is the GCF number.
So the greatest common factor 328,110,714 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 41/328, 44/110, 786/714

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 41/328, 44/110, 786/714?

Answer: LCM of Numerators as per given numbers 41/328, 44/110, 786/714 is

LCM of Numerators i.e. for 41,44,786 is 708972

GCF of denominators i.e. for 328,110,714 is 2.

Thus, LCM of Fractions is 354486.Finally, LCM of Fractions for 41/328, 44/110, 786/714 is 354486.