Least Common Multiple of 35/530, 89/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/530, 89/166 quickly i.e. 3115/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/530, 89/166 is 3115/2.

LCM(35/530, 89/166) = 3115/2

LCM of 35/530, 89/166

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 35/530,89/166

Given numbers are 35/530,89/166

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 35,89

Least Common Multiple of Numerators i.e. LCM of 35,89 is 3115.

GCF of Denominators means GCF of 530,166 as per the given fractions.

GCF of 530,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,89

LCM of Fractions 35/530,89/166 is 3115/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3115

Least Common Multiple of 35,89 with GCF Formula

Least Common Multiple of 35,89 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 35,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,89) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(35,89) x common factors =1 x 1 = 1

LCM(35,89) = ( 35 × 89 ) / 1

LCM(35,89) = 3115 / 1

LCM(35,89) = 3115


Lets's calculate GCF of 530,166

2 530, 166
265, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3115/2

Therefore the LCM of Fractions 35/530,89/166 is 3115/2

Greatest Common Factor of 530,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,166 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 530,166 . The biggest common factor number is the GCF number.
So the greatest common factor 530,166 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/530, 89/166

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 35/530, 89/166?

Answer: LCM of Numerators as per given numbers 35/530, 89/166 is

LCM of Numerators i.e. for 35,89 is 3115

GCF of denominators i.e. for 530,166 is 2.

Thus, LCM of Fractions is 3115/2.Finally, LCM of Fractions for 35/530, 89/166 is 3115/2.