Least Common Multiple of 682/74, 5823/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/74, 5823/258 quickly i.e. 1985643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/74, 5823/258 is 1985643.

LCM(682/74, 5823/258) = 1985643

LCM of 682/74, 5823/258

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 682/74,5823/258

Given numbers are 682/74,5823/258

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 682,5823

Least Common Multiple of Numerators i.e. LCM of 682,5823 is 3971286.

GCF of Denominators means GCF of 74,258 as per the given fractions.

GCF of 74,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,5823

LCM of Fractions 682/74,5823/258 is 1985643

Given numbers has no common factors except 1. So, there LCM is their product i.e 3971286

Least Common Multiple of 682,5823 with GCF Formula

Least Common Multiple of 682,5823 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 682,5823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,5823) = 1

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

GCF(682,5823) x common factors =1 x 1 = 1

LCM(682,5823) = ( 682 × 5823 ) / 1

LCM(682,5823) = 3971286 / 1

LCM(682,5823) = 3971286


Lets's calculate GCF of 74,258

2 74, 258
37, 129

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3971286/2

Therefore the LCM of Fractions 682/74,5823/258 is 1985643

Greatest Common Factor of 74,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,258 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 74,258 . The biggest common factor number is the GCF number.
So the greatest common factor 74,258 is 2.


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 682/74, 5823/258

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 682/74, 5823/258?

Answer: LCM of Numerators as per given numbers 682/74, 5823/258 is

LCM of Numerators i.e. for 682,5823 is 3971286

GCF of denominators i.e. for 74,258 is 2.

Thus, LCM of Fractions is 1985643.Finally, LCM of Fractions for 682/74, 5823/258 is 1985643.