Least Common Multiple of 19/64, 48/276, 534/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/64, 48/276, 534/338 quickly i.e. 40584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/64, 48/276, 534/338 is 40584.

LCM(19/64, 48/276, 534/338) = 40584

LCM of 19/64, 48/276, 534/338

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 19/64,48/276,534/338

Given numbers are 19/64,48/276,534/338

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 19,48,534

Least Common Multiple of Numerators i.e. LCM of 19,48,534 is 81168.

GCF of Denominators means GCF of 64,276,338 as per the given fractions.

GCF of 64,276,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,48,534

LCM of Fractions 19/64,48/276,534/338 is 40584

2 19, 48, 534
3 19, 24, 267
19, 8, 89

∴ So the LCM of the given numbers is 2 x 3 x 19 x 8 x 89 = 81168

Least Common Multiple of 19,48,534 with GCF Formula

Least Common Multiple of 19,48,534 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 19,48,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,48,534) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(19,48,534) x common factors =1 x 6 = 6

LCM(19,48,534) = ( 19 × 48 × 534 ) / 6

LCM(19,48,534) = 487008 / 6

LCM(19,48,534) = 81168


Lets's calculate GCF of 64,276,338

2 64, 276, 338
32, 138, 169

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81168/2

Therefore the LCM of Fractions 19/64,48/276,534/338 is 40584

Greatest Common Factor of 64,276,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,276,338 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 64,276,338 . The biggest common factor number is the GCF number.
So the greatest common factor 64,276,338 is 2.


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 19/64, 48/276, 534/338

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 19/64, 48/276, 534/338?

Answer: LCM of Numerators as per given numbers 19/64, 48/276, 534/338 is

LCM of Numerators i.e. for 19,48,534 is 81168

GCF of denominators i.e. for 64,276,338 is 2.

Thus, LCM of Fractions is 40584.Finally, LCM of Fractions for 19/64, 48/276, 534/338 is 40584.