Least Common Multiple of 6734/176, 8468/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6734/176, 8468/318 quickly i.e. 14255878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6734/176, 8468/318 is 14255878.

LCM(6734/176, 8468/318) = 14255878

LCM of 6734/176, 8468/318

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 6734/176,8468/318

Given numbers are 6734/176,8468/318

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 6734,8468

Least Common Multiple of Numerators i.e. LCM of 6734,8468 is 28511756.

GCF of Denominators means GCF of 176,318 as per the given fractions.

GCF of 176,318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6734,8468

LCM of Fractions 6734/176,8468/318 is 14255878

2 6734, 8468
3367, 4234

∴ So the LCM of the given numbers is 2 x 3367 x 4234 = 28511756

Least Common Multiple of 6734,8468 with GCF Formula

Least Common Multiple of 6734,8468 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 6734,8468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6734,8468) = 2

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

GCF(6734,8468) x common factors =2 x 1 = 2

LCM(6734,8468) = ( 6734 × 8468 ) / 2

LCM(6734,8468) = 57023512 / 2

LCM(6734,8468) = 28511756


Lets's calculate GCF of 176,318

2 176, 318
88, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28511756/2

Therefore the LCM of Fractions 6734/176,8468/318 is 14255878

Greatest Common Factor of 176,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,318 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 176,318 . The biggest common factor number is the GCF number.
So the greatest common factor 176,318 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 6734/176, 8468/318

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 6734/176, 8468/318?

Answer: LCM of Numerators as per given numbers 6734/176, 8468/318 is

LCM of Numerators i.e. for 6734,8468 is 28511756

GCF of denominators i.e. for 176,318 is 2.

Thus, LCM of Fractions is 14255878.Finally, LCM of Fractions for 6734/176, 8468/318 is 14255878.