Least Common Multiple of 527/14, 740/71, 106/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 527/14, 740/71, 106/841 quickly i.e. 20668940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/14, 740/71, 106/841 is 20668940.

LCM(527/14, 740/71, 106/841) = 20668940

LCM of 527/14, 740/71, 106/841

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 527/14,740/71,106/841

Given numbers are 527/14,740/71,106/841

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 527,740,106

Least Common Multiple of Numerators i.e. LCM of 527,740,106 is 20668940.

GCF of Denominators means GCF of 14,71,841 as per the given fractions.

GCF of 14,71,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,740,106

LCM of Fractions 527/14,740/71,106/841 is 20668940

2 527, 740, 106
527, 370, 53

∴ So the LCM of the given numbers is 2 x 527 x 370 x 53 = 20668940

Least Common Multiple of 527,740,106 with GCF Formula

Least Common Multiple of 527,740,106 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 527,740,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,740,106) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(527,740,106) x common factors =1 x 2 = 2

LCM(527,740,106) = ( 527 × 740 × 106 ) / 2

LCM(527,740,106) = 41337880 / 2

LCM(527,740,106) = 20668940


Lets's calculate GCF of 14,71,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20668940/1

Therefore the LCM of Fractions 527/14,740/71,106/841 is 20668940

Greatest Common Factor of 14,71,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,71,841 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 14,71,841 . The biggest common factor number is the GCF number.
So the greatest common factor 14,71,841 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 527/14, 740/71, 106/841

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 527/14, 740/71, 106/841?

Answer: LCM of Numerators as per given numbers 527/14, 740/71, 106/841 is

LCM of Numerators i.e. for 527,740,106 is 20668940

GCF of denominators i.e. for 14,71,841 is 1.

Thus, LCM of Fractions is 20668940.Finally, LCM of Fractions for 527/14, 740/71, 106/841 is 20668940.