Least Common Multiple of 741/38, 190/99, 538/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/38, 190/99, 538/468 quickly i.e. 1993290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/38, 190/99, 538/468 is 1993290.

LCM(741/38, 190/99, 538/468) = 1993290

LCM of 741/38, 190/99, 538/468

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 741/38,190/99,538/468

Given numbers are 741/38,190/99,538/468

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 741,190,538

Least Common Multiple of Numerators i.e. LCM of 741,190,538 is 1993290.

GCF of Denominators means GCF of 38,99,468 as per the given fractions.

GCF of 38,99,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,190,538

LCM of Fractions 741/38,190/99,538/468 is 1993290

2 741, 190, 538
19 741, 95, 269
39, 5, 269

∴ So the LCM of the given numbers is 2 x 19 x 39 x 5 x 269 = 1993290

Least Common Multiple of 741,190,538 with GCF Formula

Least Common Multiple of 741,190,538 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 741,190,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,190,538) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(741,190,538) x common factors =1 x 38 = 38

LCM(741,190,538) = ( 741 × 190 × 538 ) / 38

LCM(741,190,538) = 75745020 / 38

LCM(741,190,538) = 1993290


Lets's calculate GCF of 38,99,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1993290/1

Therefore the LCM of Fractions 741/38,190/99,538/468 is 1993290

Greatest Common Factor of 38,99,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,99,468 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 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 38,99,468 . The biggest common factor number is the GCF number.
So the greatest common factor 38,99,468 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 741/38, 190/99, 538/468

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 741/38, 190/99, 538/468?

Answer: LCM of Numerators as per given numbers 741/38, 190/99, 538/468 is

LCM of Numerators i.e. for 741,190,538 is 1993290

GCF of denominators i.e. for 38,99,468 is 1.

Thus, LCM of Fractions is 1993290.Finally, LCM of Fractions for 741/38, 190/99, 538/468 is 1993290.