Least Common Multiple of 67/42, 727/65, 672/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/42, 727/65, 672/870 quickly i.e. 32732448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/42, 727/65, 672/870 is 32732448.

LCM(67/42, 727/65, 672/870) = 32732448

LCM of 67/42, 727/65, 672/870

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 67/42,727/65,672/870

Given numbers are 67/42,727/65,672/870

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 67,727,672

Least Common Multiple of Numerators i.e. LCM of 67,727,672 is 32732448.

GCF of Denominators means GCF of 42,65,870 as per the given fractions.

GCF of 42,65,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,727,672

LCM of Fractions 67/42,727/65,672/870 is 32732448

Given numbers has no common factors except 1. So, there LCM is their product i.e 32732448

Least Common Multiple of 67,727,672 with GCF Formula

Least Common Multiple of 67,727,672 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 67,727,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,727,672) = 1

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

GCF(67,727,672) x common factors =1 x 1 = 1

LCM(67,727,672) = ( 67 × 727 × 672 ) / 1

LCM(67,727,672) = 32732448 / 1

LCM(67,727,672) = 32732448


Lets's calculate GCF of 42,65,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32732448/1

Therefore the LCM of Fractions 67/42,727/65,672/870 is 32732448

Greatest Common Factor of 42,65,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,65,870 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 42,65,870 . The biggest common factor number is the GCF number.
So the greatest common factor 42,65,870 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 67/42, 727/65, 672/870

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 67/42, 727/65, 672/870?

Answer: LCM of Numerators as per given numbers 67/42, 727/65, 672/870 is

LCM of Numerators i.e. for 67,727,672 is 32732448

GCF of denominators i.e. for 42,65,870 is 1.

Thus, LCM of Fractions is 32732448.Finally, LCM of Fractions for 67/42, 727/65, 672/870 is 32732448.