Least Common Multiple of 38/14, 96/63, 49/54, 92/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/14, 96/63, 49/54, 92/665 quickly i.e. 2055648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/14, 96/63, 49/54, 92/665 is 2055648.

LCM(38/14, 96/63, 49/54, 92/665) = 2055648

LCM of 38/14, 96/63, 49/54, 92/665

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 38/14,96/63,49/54,92/665

Given numbers are 38/14,96/63,49/54,92/665

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 38,96,49,92

Least Common Multiple of Numerators i.e. LCM of 38,96,49,92 is 2055648.

GCF of Denominators means GCF of 14,63,54,665 as per the given fractions.

GCF of 14,63,54,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,96,49,92

LCM of Fractions 38/14,96/63,49/54,92/665 is 2055648

2 38, 96, 49, 92
2 19, 48, 49, 46
19, 24, 49, 23

∴ So the LCM of the given numbers is 2 x 2 x 19 x 24 x 49 x 23 = 2055648

Least Common Multiple of 38,96,49,92 with GCF Formula

Least Common Multiple of 38,96,49,92 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 38,96,49,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,96,49,92) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(38,96,49,92) x common factors =1 x 8 = 8

LCM(38,96,49,92) = ( 38 × 96 × 49 × 92 ) / 8

LCM(38,96,49,92) = 16445184 / 8

LCM(38,96,49,92) = 2055648


Lets's calculate GCF of 14,63,54,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2055648/1

Therefore the LCM of Fractions 38/14,96/63,49/54,92/665 is 2055648

Greatest Common Factor of 14,63,54,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,63,54,665 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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 14,63,54,665 . The biggest common factor number is the GCF number.
So the greatest common factor 14,63,54,665 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 38/14, 96/63, 49/54, 92/665

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 38/14, 96/63, 49/54, 92/665?

Answer: LCM of Numerators as per given numbers 38/14, 96/63, 49/54, 92/665 is

LCM of Numerators i.e. for 38,96,49,92 is 2055648

GCF of denominators i.e. for 14,63,54,665 is 1.

Thus, LCM of Fractions is 2055648.Finally, LCM of Fractions for 38/14, 96/63, 49/54, 92/665 is 2055648.