Least Common Multiple of 69/68, 53/84, 90/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/68, 53/84, 90/203 quickly i.e. 109710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/68, 53/84, 90/203 is 109710.

LCM(69/68, 53/84, 90/203) = 109710

LCM of 69/68, 53/84, 90/203

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 69/68,53/84,90/203

Given numbers are 69/68,53/84,90/203

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 69,53,90

Least Common Multiple of Numerators i.e. LCM of 69,53,90 is 109710.

GCF of Denominators means GCF of 68,84,203 as per the given fractions.

GCF of 68,84,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,53,90

LCM of Fractions 69/68,53/84,90/203 is 109710

3 69, 53, 90
23, 53, 30

∴ So the LCM of the given numbers is 3 x 23 x 53 x 30 = 109710

Least Common Multiple of 69,53,90 with GCF Formula

Least Common Multiple of 69,53,90 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 69,53,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,53,90) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,53,90) x common factors =1 x 3 = 3

LCM(69,53,90) = ( 69 × 53 × 90 ) / 3

LCM(69,53,90) = 329130 / 3

LCM(69,53,90) = 109710


Lets's calculate GCF of 68,84,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109710/1

Therefore the LCM of Fractions 69/68,53/84,90/203 is 109710

Greatest Common Factor of 68,84,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,84,203 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 68,84,203 . The biggest common factor number is the GCF number.
So the greatest common factor 68,84,203 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/68, 53/84, 90/203

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 69/68, 53/84, 90/203?

Answer: LCM of Numerators as per given numbers 69/68, 53/84, 90/203 is

LCM of Numerators i.e. for 69,53,90 is 109710

GCF of denominators i.e. for 68,84,203 is 1.

Thus, LCM of Fractions is 109710.Finally, LCM of Fractions for 69/68, 53/84, 90/203 is 109710.