Least Common Multiple of 5/67, 58/710, 69/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/67, 58/710, 69/242 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 5/67, 58/710, 69/242 is 20010.

LCM(5/67, 58/710, 69/242) = 20010

LCM of 5/67, 58/710, 69/242

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 5/67,58/710,69/242

Given numbers are 5/67,58/710,69/242

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 5,58,69

Least Common Multiple of Numerators i.e. LCM of 5,58,69 is 20010.

GCF of Denominators means GCF of 67,710,242 as per the given fractions.

GCF of 67,710,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,58,69

LCM of Fractions 5/67,58/710,69/242 is 20010

Given numbers has no common factors except 1. So, there LCM is their product i.e 20010

Least Common Multiple of 5,58,69 with GCF Formula

Least Common Multiple of 5,58,69 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 5,58,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,58,69) = 1

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

GCF(5,58,69) x common factors =1 x 1 = 1

LCM(5,58,69) = ( 5 × 58 × 69 ) / 1

LCM(5,58,69) = 20010 / 1

LCM(5,58,69) = 20010


Lets's calculate GCF of 67,710,242

∴ 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 5/67,58/710,69/242 is 20010

Greatest Common Factor of 67,710,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,710,242 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 67,710,242 . The biggest common factor number is the GCF number.
So the greatest common factor 67,710,242 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 5/67, 58/710, 69/242

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 5/67, 58/710, 69/242?

Answer: LCM of Numerators as per given numbers 5/67, 58/710, 69/242 is

LCM of Numerators i.e. for 5,58,69 is 20010

GCF of denominators i.e. for 67,710,242 is 1.

Thus, LCM of Fractions is 20010.Finally, LCM of Fractions for 5/67, 58/710, 69/242 is 20010.