Least Common Multiple of 62/67, 21/42, 31/27, 60/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/67, 21/42, 31/27, 60/994 quickly i.e. 13020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/67, 21/42, 31/27, 60/994 is 13020.

LCM(62/67, 21/42, 31/27, 60/994) = 13020

LCM of 62/67, 21/42, 31/27, 60/994

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 62/67,21/42,31/27,60/994

Given numbers are 62/67,21/42,31/27,60/994

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 62,21,31,60

Least Common Multiple of Numerators i.e. LCM of 62,21,31,60 is 13020.

GCF of Denominators means GCF of 67,42,27,994 as per the given fractions.

GCF of 67,42,27,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,21,31,60

LCM of Fractions 62/67,21/42,31/27,60/994 is 13020

2 62, 21, 31, 60
3 31, 21, 31, 30
31 31, 7, 31, 10
1, 7, 1, 10

∴ So the LCM of the given numbers is 2 x 3 x 31 x 1 x 7 x 1 x 10 = 13020

Least Common Multiple of 62,21,31,60 with GCF Formula

Least Common Multiple of 62,21,31,60 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 62,21,31,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,21,31,60) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(62,21,31,60) x common factors =1 x 186 = 186

LCM(62,21,31,60) = ( 62 × 21 × 31 × 60 ) / 186

LCM(62,21,31,60) = 2421720 / 186

LCM(62,21,31,60) = 13020


Lets's calculate GCF of 67,42,27,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13020/1

Therefore the LCM of Fractions 62/67,21/42,31/27,60/994 is 13020

Greatest Common Factor of 67,42,27,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,42,27,994 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 42

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

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

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 67,42,27,994 . The biggest common factor number is the GCF number.
So the greatest common factor 67,42,27,994 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 62/67, 21/42, 31/27, 60/994

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 62/67, 21/42, 31/27, 60/994?

Answer: LCM of Numerators as per given numbers 62/67, 21/42, 31/27, 60/994 is

LCM of Numerators i.e. for 62,21,31,60 is 13020

GCF of denominators i.e. for 67,42,27,994 is 1.

Thus, LCM of Fractions is 13020.Finally, LCM of Fractions for 62/67, 21/42, 31/27, 60/994 is 13020.