Least Common Multiple of 39/682, 56/349, 975/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/682, 56/349, 975/176 quickly i.e. 54600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/682, 56/349, 975/176 is 54600.

LCM(39/682, 56/349, 975/176) = 54600

LCM of 39/682, 56/349, 975/176

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 39/682,56/349,975/176

Given numbers are 39/682,56/349,975/176

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 39,56,975

Least Common Multiple of Numerators i.e. LCM of 39,56,975 is 54600.

GCF of Denominators means GCF of 682,349,176 as per the given fractions.

GCF of 682,349,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,56,975

LCM of Fractions 39/682,56/349,975/176 is 54600

3 39, 56, 975
13 13, 56, 325
1, 56, 25

∴ So the LCM of the given numbers is 3 x 13 x 1 x 56 x 25 = 54600

Least Common Multiple of 39,56,975 with GCF Formula

Least Common Multiple of 39,56,975 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 39,56,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,56,975) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(39,56,975) x common factors =1 x 39 = 39

LCM(39,56,975) = ( 39 × 56 × 975 ) / 39

LCM(39,56,975) = 2129400 / 39

LCM(39,56,975) = 54600


Lets's calculate GCF of 682,349,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54600/1

Therefore the LCM of Fractions 39/682,56/349,975/176 is 54600

Greatest Common Factor of 682,349,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,349,176 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 349

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

1,349

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 682,349,176 . The biggest common factor number is the GCF number.
So the greatest common factor 682,349,176 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 39/682, 56/349, 975/176

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 39/682, 56/349, 975/176?

Answer: LCM of Numerators as per given numbers 39/682, 56/349, 975/176 is

LCM of Numerators i.e. for 39,56,975 is 54600

GCF of denominators i.e. for 682,349,176 is 1.

Thus, LCM of Fractions is 54600.Finally, LCM of Fractions for 39/682, 56/349, 975/176 is 54600.