Least Common Multiple of 8342/918, 3796/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8342/918, 3796/686 quickly i.e. 7916558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8342/918, 3796/686 is 7916558.

LCM(8342/918, 3796/686) = 7916558

LCM of 8342/918, 3796/686

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 8342/918,3796/686

Given numbers are 8342/918,3796/686

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 8342,3796

Least Common Multiple of Numerators i.e. LCM of 8342,3796 is 15833116.

GCF of Denominators means GCF of 918,686 as per the given fractions.

GCF of 918,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8342,3796

LCM of Fractions 8342/918,3796/686 is 7916558

2 8342, 3796
4171, 1898

∴ So the LCM of the given numbers is 2 x 4171 x 1898 = 15833116

Least Common Multiple of 8342,3796 with GCF Formula

Least Common Multiple of 8342,3796 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 8342,3796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8342,3796) = 2

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

GCF(8342,3796) x common factors =2 x 1 = 2

LCM(8342,3796) = ( 8342 × 3796 ) / 2

LCM(8342,3796) = 31666232 / 2

LCM(8342,3796) = 15833116


Lets's calculate GCF of 918,686

2 918, 686
459, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15833116/2

Therefore the LCM of Fractions 8342/918,3796/686 is 7916558

Greatest Common Factor of 918,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,686 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 918,686 . The biggest common factor number is the GCF number.
So the greatest common factor 918,686 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 8342/918, 3796/686

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 8342/918, 3796/686?

Answer: LCM of Numerators as per given numbers 8342/918, 3796/686 is

LCM of Numerators i.e. for 8342,3796 is 15833116

GCF of denominators i.e. for 918,686 is 2.

Thus, LCM of Fractions is 7916558.Finally, LCM of Fractions for 8342/918, 3796/686 is 7916558.