Least Common Multiple of 3/696, 38/582, 45/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/696, 38/582, 45/334 quickly i.e. 855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/696, 38/582, 45/334 is 855.

LCM(3/696, 38/582, 45/334) = 855

LCM of 3/696, 38/582, 45/334

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 3/696,38/582,45/334

Given numbers are 3/696,38/582,45/334

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 3,38,45

Least Common Multiple of Numerators i.e. LCM of 3,38,45 is 1710.

GCF of Denominators means GCF of 696,582,334 as per the given fractions.

GCF of 696,582,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,38,45

LCM of Fractions 3/696,38/582,45/334 is 855

3 3, 38, 45
1, 38, 15

∴ So the LCM of the given numbers is 3 x 1 x 38 x 15 = 1710

Least Common Multiple of 3,38,45 with GCF Formula

Least Common Multiple of 3,38,45 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 3,38,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,38,45) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,38,45) x common factors =1 x 3 = 3

LCM(3,38,45) = ( 3 × 38 × 45 ) / 3

LCM(3,38,45) = 5130 / 3

LCM(3,38,45) = 1710


Lets's calculate GCF of 696,582,334

2 696, 582, 334
348, 291, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1710/2

Therefore the LCM of Fractions 3/696,38/582,45/334 is 855

Greatest Common Factor of 696,582,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,582,334 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 696,582,334 . The biggest common factor number is the GCF number.
So the greatest common factor 696,582,334 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 3/696, 38/582, 45/334

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 3/696, 38/582, 45/334?

Answer: LCM of Numerators as per given numbers 3/696, 38/582, 45/334 is

LCM of Numerators i.e. for 3,38,45 is 1710

GCF of denominators i.e. for 696,582,334 is 2.

Thus, LCM of Fractions is 855.Finally, LCM of Fractions for 3/696, 38/582, 45/334 is 855.