Least Common Multiple of 76/349, 567/608, 842/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/349, 567/608, 842/444 quickly i.e. 18141732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/349, 567/608, 842/444 is 18141732.

LCM(76/349, 567/608, 842/444) = 18141732

LCM of 76/349, 567/608, 842/444

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 76/349,567/608,842/444

Given numbers are 76/349,567/608,842/444

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 76,567,842

Least Common Multiple of Numerators i.e. LCM of 76,567,842 is 18141732.

GCF of Denominators means GCF of 349,608,444 as per the given fractions.

GCF of 349,608,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,567,842

LCM of Fractions 76/349,567/608,842/444 is 18141732

2 76, 567, 842
38, 567, 421

∴ So the LCM of the given numbers is 2 x 38 x 567 x 421 = 18141732

Least Common Multiple of 76,567,842 with GCF Formula

Least Common Multiple of 76,567,842 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 76,567,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,567,842) = 1

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

GCF(76,567,842) x common factors =1 x 2 = 2

LCM(76,567,842) = ( 76 × 567 × 842 ) / 2

LCM(76,567,842) = 36283464 / 2

LCM(76,567,842) = 18141732


Lets's calculate GCF of 349,608,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18141732/1

Therefore the LCM of Fractions 76/349,567/608,842/444 is 18141732

Greatest Common Factor of 349,608,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,608,444 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 349,608,444 . The biggest common factor number is the GCF number.
So the greatest common factor 349,608,444 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 76/349, 567/608, 842/444

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 76/349, 567/608, 842/444?

Answer: LCM of Numerators as per given numbers 76/349, 567/608, 842/444 is

LCM of Numerators i.e. for 76,567,842 is 18141732

GCF of denominators i.e. for 349,608,444 is 1.

Thus, LCM of Fractions is 18141732.Finally, LCM of Fractions for 76/349, 567/608, 842/444 is 18141732.