Least Common Multiple of 7646/428, 4144/7789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7646/428, 4144/7789 quickly i.e. 15842512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7646/428, 4144/7789 is 15842512.

LCM(7646/428, 4144/7789) = 15842512

LCM of 7646/428, 4144/7789

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 7646/428,4144/7789

Given numbers are 7646/428,4144/7789

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 7646,4144

Least Common Multiple of Numerators i.e. LCM of 7646,4144 is 15842512.

GCF of Denominators means GCF of 428,7789 as per the given fractions.

GCF of 428,7789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7646,4144

LCM of Fractions 7646/428,4144/7789 is 15842512

2 7646, 4144
3823, 2072

∴ So the LCM of the given numbers is 2 x 3823 x 2072 = 15842512

Least Common Multiple of 7646,4144 with GCF Formula

Least Common Multiple of 7646,4144 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 7646,4144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7646,4144) = 2

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

GCF(7646,4144) x common factors =2 x 1 = 2

LCM(7646,4144) = ( 7646 × 4144 ) / 2

LCM(7646,4144) = 31685024 / 2

LCM(7646,4144) = 15842512


Lets's calculate GCF of 428,7789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15842512/1

Therefore the LCM of Fractions 7646/428,4144/7789 is 15842512

Greatest Common Factor of 428,7789 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,7789 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 7789

List of positive integer factors of 7789 that divides 7789 without a remainder.

1,7789

Greatest Common Factor

We found the factors 428,7789 . The biggest common factor number is the GCF number.
So the greatest common factor 428,7789 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 7646/428, 4144/7789

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 7646/428, 4144/7789?

Answer: LCM of Numerators as per given numbers 7646/428, 4144/7789 is

LCM of Numerators i.e. for 7646,4144 is 15842512

GCF of denominators i.e. for 428,7789 is 1.

Thus, LCM of Fractions is 15842512.Finally, LCM of Fractions for 7646/428, 4144/7789 is 15842512.