Least Common Multiple of 69/32, 30/29, 870/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/32, 30/29, 870/167 quickly i.e. 20010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/32, 30/29, 870/167 is 20010.

LCM(69/32, 30/29, 870/167) = 20010

LCM of 69/32, 30/29, 870/167

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 69/32,30/29,870/167

Given numbers are 69/32,30/29,870/167

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 69,30,870

Least Common Multiple of Numerators i.e. LCM of 69,30,870 is 20010.

GCF of Denominators means GCF of 32,29,167 as per the given fractions.

GCF of 32,29,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,30,870

LCM of Fractions 69/32,30/29,870/167 is 20010

2 69, 30, 870
3 69, 15, 435
5 23, 5, 145
23, 1, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 1 x 29 = 20010

Least Common Multiple of 69,30,870 with GCF Formula

Least Common Multiple of 69,30,870 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 69,30,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,30,870) = 3

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

GCF(69,30,870) x common factors =3 x 30 = 90

LCM(69,30,870) = ( 69 × 30 × 870 ) / 90

LCM(69,30,870) = 1800900 / 90

LCM(69,30,870) = 20010


Lets's calculate GCF of 32,29,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20010/1

Therefore the LCM of Fractions 69/32,30/29,870/167 is 20010

Greatest Common Factor of 32,29,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,29,167 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 32,29,167 . The biggest common factor number is the GCF number.
So the greatest common factor 32,29,167 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 69/32, 30/29, 870/167

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 69/32, 30/29, 870/167?

Answer: LCM of Numerators as per given numbers 69/32, 30/29, 870/167 is

LCM of Numerators i.e. for 69,30,870 is 20010

GCF of denominators i.e. for 32,29,167 is 1.

Thus, LCM of Fractions is 20010.Finally, LCM of Fractions for 69/32, 30/29, 870/167 is 20010.