Least Common Multiple of 68/883, 88/814, 446/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/883, 88/814, 446/675 quickly i.e. 333608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/883, 88/814, 446/675 is 333608.

LCM(68/883, 88/814, 446/675) = 333608

LCM of 68/883, 88/814, 446/675

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 68/883,88/814,446/675

Given numbers are 68/883,88/814,446/675

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 68,88,446

Least Common Multiple of Numerators i.e. LCM of 68,88,446 is 333608.

GCF of Denominators means GCF of 883,814,675 as per the given fractions.

GCF of 883,814,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,88,446

LCM of Fractions 68/883,88/814,446/675 is 333608

2 68, 88, 446
2 34, 44, 223
17, 22, 223

∴ So the LCM of the given numbers is 2 x 2 x 17 x 22 x 223 = 333608

Least Common Multiple of 68,88,446 with GCF Formula

Least Common Multiple of 68,88,446 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 68,88,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,88,446) = 2

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

GCF(68,88,446) x common factors =2 x 4 = 8

LCM(68,88,446) = ( 68 × 88 × 446 ) / 8

LCM(68,88,446) = 2668864 / 8

LCM(68,88,446) = 333608


Lets's calculate GCF of 883,814,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333608/1

Therefore the LCM of Fractions 68/883,88/814,446/675 is 333608

Greatest Common Factor of 883,814,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,814,675 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 883,814,675 . The biggest common factor number is the GCF number.
So the greatest common factor 883,814,675 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/883, 88/814, 446/675

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 68/883, 88/814, 446/675?

Answer: LCM of Numerators as per given numbers 68/883, 88/814, 446/675 is

LCM of Numerators i.e. for 68,88,446 is 333608

GCF of denominators i.e. for 883,814,675 is 1.

Thus, LCM of Fractions is 333608.Finally, LCM of Fractions for 68/883, 88/814, 446/675 is 333608.