Least Common Multiple of 76/357, 44/750, 346/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/357, 44/750, 346/882 quickly i.e. 144628/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/357, 44/750, 346/882 is 144628/3.

LCM(76/357, 44/750, 346/882) = 144628/3

LCM of 76/357, 44/750, 346/882

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 76/357,44/750,346/882

Given numbers are 76/357,44/750,346/882

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 76,44,346

Least Common Multiple of Numerators i.e. LCM of 76,44,346 is 144628.

GCF of Denominators means GCF of 357,750,882 as per the given fractions.

GCF of 357,750,882 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,44,346

LCM of Fractions 76/357,44/750,346/882 is 144628/3

2 76, 44, 346
2 38, 22, 173
19, 11, 173

∴ So the LCM of the given numbers is 2 x 2 x 19 x 11 x 173 = 144628

Least Common Multiple of 76,44,346 with GCF Formula

Least Common Multiple of 76,44,346 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 76,44,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,44,346) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,44,346) x common factors =2 x 4 = 8

LCM(76,44,346) = ( 76 × 44 × 346 ) / 8

LCM(76,44,346) = 1157024 / 8

LCM(76,44,346) = 144628


Lets's calculate GCF of 357,750,882

3 357, 750, 882
119, 250, 294

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144628/3

Therefore the LCM of Fractions 76/357,44/750,346/882 is 144628/3

Greatest Common Factor of 357,750,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,750,882 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 357,750,882 . The biggest common factor number is the GCF number.
So the greatest common factor 357,750,882 is 3.


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 76/357, 44/750, 346/882

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 76/357, 44/750, 346/882?

Answer: LCM of Numerators as per given numbers 76/357, 44/750, 346/882 is

LCM of Numerators i.e. for 76,44,346 is 144628

GCF of denominators i.e. for 357,750,882 is 3.

Thus, LCM of Fractions is 144628/3.Finally, LCM of Fractions for 76/357, 44/750, 346/882 is 144628/3.