Least Common Multiple of 64/126, 7698/3819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/126, 7698/3819 quickly i.e. 82112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/126, 7698/3819 is 82112.

LCM(64/126, 7698/3819) = 82112

LCM of 64/126, 7698/3819

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 64/126,7698/3819

Given numbers are 64/126,7698/3819

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 64,7698

Least Common Multiple of Numerators i.e. LCM of 64,7698 is 246336.

GCF of Denominators means GCF of 126,3819 as per the given fractions.

GCF of 126,3819 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,7698

LCM of Fractions 64/126,7698/3819 is 82112

2 64, 7698
32, 3849

∴ So the LCM of the given numbers is 2 x 32 x 3849 = 246336

Least Common Multiple of 64,7698 with GCF Formula

Least Common Multiple of 64,7698 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 64,7698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,7698) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(64,7698) x common factors =2 x 1 = 2

LCM(64,7698) = ( 64 × 7698 ) / 2

LCM(64,7698) = 492672 / 2

LCM(64,7698) = 246336


Lets's calculate GCF of 126,3819

3 126, 3819
42, 1273

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246336/3

Therefore the LCM of Fractions 64/126,7698/3819 is 82112

Greatest Common Factor of 126,3819 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,3819 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1,3,19,57,67,201,1273,3819

Greatest Common Factor

We found the factors 126,3819 . The biggest common factor number is the GCF number.
So the greatest common factor 126,3819 is 3.


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 64/126, 7698/3819

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 64/126, 7698/3819?

Answer: LCM of Numerators as per given numbers 64/126, 7698/3819 is

LCM of Numerators i.e. for 64,7698 is 246336

GCF of denominators i.e. for 126,3819 is 3.

Thus, LCM of Fractions is 82112.Finally, LCM of Fractions for 64/126, 7698/3819 is 82112.