Least Common Multiple of 7706/42, 8175/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7706/42, 8175/439 quickly i.e. 62996550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7706/42, 8175/439 is 62996550.

LCM(7706/42, 8175/439) = 62996550

LCM of 7706/42, 8175/439

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 7706/42,8175/439

Given numbers are 7706/42,8175/439

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 7706,8175

Least Common Multiple of Numerators i.e. LCM of 7706,8175 is 62996550.

GCF of Denominators means GCF of 42,439 as per the given fractions.

GCF of 42,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7706,8175

LCM of Fractions 7706/42,8175/439 is 62996550

Given numbers has no common factors except 1. So, there LCM is their product i.e 62996550

Least Common Multiple of 7706,8175 with GCF Formula

Least Common Multiple of 7706,8175 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 7706,8175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7706,8175) = 1

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

GCF(7706,8175) x common factors =1 x 1 = 1

LCM(7706,8175) = ( 7706 × 8175 ) / 1

LCM(7706,8175) = 62996550 / 1

LCM(7706,8175) = 62996550


Lets's calculate GCF of 42,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62996550/1

Therefore the LCM of Fractions 7706/42,8175/439 is 62996550

Greatest Common Factor of 42,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,439 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 42,439 . The biggest common factor number is the GCF number.
So the greatest common factor 42,439 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 7706/42, 8175/439

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 7706/42, 8175/439?

Answer: LCM of Numerators as per given numbers 7706/42, 8175/439 is

LCM of Numerators i.e. for 7706,8175 is 62996550

GCF of denominators i.e. for 42,439 is 1.

Thus, LCM of Fractions is 62996550.Finally, LCM of Fractions for 7706/42, 8175/439 is 62996550.