Least Common Multiple of 60/38, 81/47, 14/94, 21/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/38, 81/47, 14/94, 21/522 quickly i.e. 11340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/38, 81/47, 14/94, 21/522 is 11340.

LCM(60/38, 81/47, 14/94, 21/522) = 11340

LCM of 60/38, 81/47, 14/94, 21/522

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 60/38,81/47,14/94,21/522

Given numbers are 60/38,81/47,14/94,21/522

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 60,81,14,21

Least Common Multiple of Numerators i.e. LCM of 60,81,14,21 is 11340.

GCF of Denominators means GCF of 38,47,94,522 as per the given fractions.

GCF of 38,47,94,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,81,14,21

LCM of Fractions 60/38,81/47,14/94,21/522 is 11340

2 60, 81, 14, 21
3 30, 81, 7, 21
7 10, 27, 7, 7
10, 27, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 27 x 1 x 1 = 11340

Least Common Multiple of 60,81,14,21 with GCF Formula

Least Common Multiple of 60,81,14,21 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 60,81,14,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,81,14,21) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(60,81,14,21) x common factors =1 x 126 = 126

LCM(60,81,14,21) = ( 60 × 81 × 14 × 21 ) / 126

LCM(60,81,14,21) = 1428840 / 126

LCM(60,81,14,21) = 11340


Lets's calculate GCF of 38,47,94,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11340/1

Therefore the LCM of Fractions 60/38,81/47,14/94,21/522 is 11340

Greatest Common Factor of 38,47,94,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,47,94,522 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 38,47,94,522 . The biggest common factor number is the GCF number.
So the greatest common factor 38,47,94,522 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 60/38, 81/47, 14/94, 21/522

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 60/38, 81/47, 14/94, 21/522?

Answer: LCM of Numerators as per given numbers 60/38, 81/47, 14/94, 21/522 is

LCM of Numerators i.e. for 60,81,14,21 is 11340

GCF of denominators i.e. for 38,47,94,522 is 1.

Thus, LCM of Fractions is 11340.Finally, LCM of Fractions for 60/38, 81/47, 14/94, 21/522 is 11340.