Least Common Multiple of 289/92, 134/30, 689/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/92, 134/30, 689/548 quickly i.e. 13341107 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/92, 134/30, 689/548 is 13341107.

LCM(289/92, 134/30, 689/548) = 13341107

LCM of 289/92, 134/30, 689/548

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 289/92,134/30,689/548

Given numbers are 289/92,134/30,689/548

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 289,134,689

Least Common Multiple of Numerators i.e. LCM of 289,134,689 is 26682214.

GCF of Denominators means GCF of 92,30,548 as per the given fractions.

GCF of 92,30,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,134,689

LCM of Fractions 289/92,134/30,689/548 is 13341107

Given numbers has no common factors except 1. So, there LCM is their product i.e 26682214

Least Common Multiple of 289,134,689 with GCF Formula

Least Common Multiple of 289,134,689 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 289,134,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,134,689) = 1

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

GCF(289,134,689) x common factors =1 x 1 = 1

LCM(289,134,689) = ( 289 × 134 × 689 ) / 1

LCM(289,134,689) = 26682214 / 1

LCM(289,134,689) = 26682214


Lets's calculate GCF of 92,30,548

2 92, 30, 548
46, 15, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26682214/2

Therefore the LCM of Fractions 289/92,134/30,689/548 is 13341107

Greatest Common Factor of 92,30,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,30,548 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 92,30,548 . The biggest common factor number is the GCF number.
So the greatest common factor 92,30,548 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 289/92, 134/30, 689/548

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 289/92, 134/30, 689/548?

Answer: LCM of Numerators as per given numbers 289/92, 134/30, 689/548 is

LCM of Numerators i.e. for 289,134,689 is 26682214

GCF of denominators i.e. for 92,30,548 is 2.

Thus, LCM of Fractions is 13341107.Finally, LCM of Fractions for 289/92, 134/30, 689/548 is 13341107.