Least Common Multiple of 8410/682, 8178/4831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8410/682, 8178/4831 quickly i.e. 1185810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8410/682, 8178/4831 is 1185810.

LCM(8410/682, 8178/4831) = 1185810

LCM of 8410/682, 8178/4831

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 8410/682,8178/4831

Given numbers are 8410/682,8178/4831

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 8410,8178

Least Common Multiple of Numerators i.e. LCM of 8410,8178 is 1185810.

GCF of Denominators means GCF of 682,4831 as per the given fractions.

GCF of 682,4831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8410,8178

LCM of Fractions 8410/682,8178/4831 is 1185810

2 8410, 8178
29 4205, 4089
145, 141

∴ So the LCM of the given numbers is 2 x 29 x 145 x 141 = 1185810

Least Common Multiple of 8410,8178 with GCF Formula

Least Common Multiple of 8410,8178 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 8410,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8410,8178) = 58

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

GCF(8410,8178) x common factors =58 x 1 = 58

LCM(8410,8178) = ( 8410 × 8178 ) / 58

LCM(8410,8178) = 68776980 / 58

LCM(8410,8178) = 1185810


Lets's calculate GCF of 682,4831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1185810/1

Therefore the LCM of Fractions 8410/682,8178/4831 is 1185810

Greatest Common Factor of 682,4831 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,4831 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 4831

List of positive integer factors of 4831 that divides 4831 without a remainder.

1,4831

Greatest Common Factor

We found the factors 682,4831 . The biggest common factor number is the GCF number.
So the greatest common factor 682,4831 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 8410/682, 8178/4831

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 8410/682, 8178/4831?

Answer: LCM of Numerators as per given numbers 8410/682, 8178/4831 is

LCM of Numerators i.e. for 8410,8178 is 1185810

GCF of denominators i.e. for 682,4831 is 1.

Thus, LCM of Fractions is 1185810.Finally, LCM of Fractions for 8410/682, 8178/4831 is 1185810.