Least Common Multiple of 4828/415, 6832/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4828/415, 6832/958 quickly i.e. 8246224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4828/415, 6832/958 is 8246224.

LCM(4828/415, 6832/958) = 8246224

LCM of 4828/415, 6832/958

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 4828/415,6832/958

Given numbers are 4828/415,6832/958

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 4828,6832

Least Common Multiple of Numerators i.e. LCM of 4828,6832 is 8246224.

GCF of Denominators means GCF of 415,958 as per the given fractions.

GCF of 415,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4828,6832

LCM of Fractions 4828/415,6832/958 is 8246224

2 4828, 6832
2 2414, 3416
1207, 1708

∴ So the LCM of the given numbers is 2 x 2 x 1207 x 1708 = 8246224

Least Common Multiple of 4828,6832 with GCF Formula

Least Common Multiple of 4828,6832 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 4828,6832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4828,6832) = 4

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

GCF(4828,6832) x common factors =4 x 1 = 4

LCM(4828,6832) = ( 4828 × 6832 ) / 4

LCM(4828,6832) = 32984896 / 4

LCM(4828,6832) = 8246224


Lets's calculate GCF of 415,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8246224/1

Therefore the LCM of Fractions 4828/415,6832/958 is 8246224

Greatest Common Factor of 415,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,958 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 415,958 . The biggest common factor number is the GCF number.
So the greatest common factor 415,958 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 4828/415, 6832/958

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 4828/415, 6832/958?

Answer: LCM of Numerators as per given numbers 4828/415, 6832/958 is

LCM of Numerators i.e. for 4828,6832 is 8246224

GCF of denominators i.e. for 415,958 is 1.

Thus, LCM of Fractions is 8246224.Finally, LCM of Fractions for 4828/415, 6832/958 is 8246224.