Least Common Multiple of 740/71, 382/38, 990/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/71, 382/38, 990/231 quickly i.e. 13992660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/71, 382/38, 990/231 is 13992660.

LCM(740/71, 382/38, 990/231) = 13992660

LCM of 740/71, 382/38, 990/231

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 740/71,382/38,990/231

Given numbers are 740/71,382/38,990/231

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 740,382,990

Least Common Multiple of Numerators i.e. LCM of 740,382,990 is 13992660.

GCF of Denominators means GCF of 71,38,231 as per the given fractions.

GCF of 71,38,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,382,990

LCM of Fractions 740/71,382/38,990/231 is 13992660

2 740, 382, 990
5 370, 191, 495
74, 191, 99

∴ So the LCM of the given numbers is 2 x 5 x 74 x 191 x 99 = 13992660

Least Common Multiple of 740,382,990 with GCF Formula

Least Common Multiple of 740,382,990 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 740,382,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,382,990) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(740,382,990) x common factors =2 x 10 = 20

LCM(740,382,990) = ( 740 × 382 × 990 ) / 20

LCM(740,382,990) = 279853200 / 20

LCM(740,382,990) = 13992660


Lets's calculate GCF of 71,38,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13992660/1

Therefore the LCM of Fractions 740/71,382/38,990/231 is 13992660

Greatest Common Factor of 71,38,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,38,231 By Matching Biggest Common Factor Method

Factors of 71

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

1,71

Factors of 38

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

1,2,19,38

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 71,38,231 . The biggest common factor number is the GCF number.
So the greatest common factor 71,38,231 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 740/71, 382/38, 990/231

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 740/71, 382/38, 990/231?

Answer: LCM of Numerators as per given numbers 740/71, 382/38, 990/231 is

LCM of Numerators i.e. for 740,382,990 is 13992660

GCF of denominators i.e. for 71,38,231 is 1.

Thus, LCM of Fractions is 13992660.Finally, LCM of Fractions for 740/71, 382/38, 990/231 is 13992660.