Least Common Multiple of 8/689, 30/132, 30/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/689, 30/132, 30/558 quickly i.e. 120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/689, 30/132, 30/558 is 120.

LCM(8/689, 30/132, 30/558) = 120

LCM of 8/689, 30/132, 30/558

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 8/689,30/132,30/558

Given numbers are 8/689,30/132,30/558

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 8,30,30

Least Common Multiple of Numerators i.e. LCM of 8,30,30 is 120.

GCF of Denominators means GCF of 689,132,558 as per the given fractions.

GCF of 689,132,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,30,30

LCM of Fractions 8/689,30/132,30/558 is 120

2 8, 30, 30
3 4, 15, 15
5 4, 5, 5
4, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 1 x 1 = 120

Least Common Multiple of 8,30,30 with GCF Formula

Least Common Multiple of 8,30,30 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 8,30,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,30,30) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(8,30,30) x common factors =2 x 30 = 60

LCM(8,30,30) = ( 8 × 30 × 30 ) / 60

LCM(8,30,30) = 7200 / 60

LCM(8,30,30) = 120


Lets's calculate GCF of 689,132,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120/1

Therefore the LCM of Fractions 8/689,30/132,30/558 is 120

Greatest Common Factor of 689,132,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,132,558 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 689,132,558 . The biggest common factor number is the GCF number.
So the greatest common factor 689,132,558 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 8/689, 30/132, 30/558

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 8/689, 30/132, 30/558?

Answer: LCM of Numerators as per given numbers 8/689, 30/132, 30/558 is

LCM of Numerators i.e. for 8,30,30 is 120

GCF of denominators i.e. for 689,132,558 is 1.

Thus, LCM of Fractions is 120.Finally, LCM of Fractions for 8/689, 30/132, 30/558 is 120.