Least Common Multiple of 76/170, 85/738, 110/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/170, 85/738, 110/324 quickly i.e. 35530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/170, 85/738, 110/324 is 35530.

LCM(76/170, 85/738, 110/324) = 35530

LCM of 76/170, 85/738, 110/324

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 76/170,85/738,110/324

Given numbers are 76/170,85/738,110/324

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 76,85,110

Least Common Multiple of Numerators i.e. LCM of 76,85,110 is 71060.

GCF of Denominators means GCF of 170,738,324 as per the given fractions.

GCF of 170,738,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,85,110

LCM of Fractions 76/170,85/738,110/324 is 35530

2 76, 85, 110
5 38, 85, 55
38, 17, 11

∴ So the LCM of the given numbers is 2 x 5 x 38 x 17 x 11 = 71060

Least Common Multiple of 76,85,110 with GCF Formula

Least Common Multiple of 76,85,110 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 76,85,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,85,110) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(76,85,110) x common factors =1 x 10 = 10

LCM(76,85,110) = ( 76 × 85 × 110 ) / 10

LCM(76,85,110) = 710600 / 10

LCM(76,85,110) = 71060


Lets's calculate GCF of 170,738,324

2 170, 738, 324
85, 369, 162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71060/2

Therefore the LCM of Fractions 76/170,85/738,110/324 is 35530

Greatest Common Factor of 170,738,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,738,324 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 170,738,324 . The biggest common factor number is the GCF number.
So the greatest common factor 170,738,324 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 76/170, 85/738, 110/324

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 76/170, 85/738, 110/324?

Answer: LCM of Numerators as per given numbers 76/170, 85/738, 110/324 is

LCM of Numerators i.e. for 76,85,110 is 71060

GCF of denominators i.e. for 170,738,324 is 2.

Thus, LCM of Fractions is 35530.Finally, LCM of Fractions for 76/170, 85/738, 110/324 is 35530.