Least Common Multiple of 177/318, 8128/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 177/318, 8128/656 quickly i.e. 719328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/318, 8128/656 is 719328.

LCM(177/318, 8128/656) = 719328

LCM of 177/318, 8128/656

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 177/318,8128/656

Given numbers are 177/318,8128/656

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 177,8128

Least Common Multiple of Numerators i.e. LCM of 177,8128 is 1438656.

GCF of Denominators means GCF of 318,656 as per the given fractions.

GCF of 318,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,8128

LCM of Fractions 177/318,8128/656 is 719328

Given numbers has no common factors except 1. So, there LCM is their product i.e 1438656

Least Common Multiple of 177,8128 with GCF Formula

Least Common Multiple of 177,8128 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 177,8128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,8128) = 1

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

GCF(177,8128) x common factors =1 x 1 = 1

LCM(177,8128) = ( 177 × 8128 ) / 1

LCM(177,8128) = 1438656 / 1

LCM(177,8128) = 1438656


Lets's calculate GCF of 318,656

2 318, 656
159, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1438656/2

Therefore the LCM of Fractions 177/318,8128/656 is 719328

Greatest Common Factor of 318,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,656 By Matching Biggest Common Factor Method

Factors of 318

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

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

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 318,656 . The biggest common factor number is the GCF number.
So the greatest common factor 318,656 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 177/318, 8128/656

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 177/318, 8128/656?

Answer: LCM of Numerators as per given numbers 177/318, 8128/656 is

LCM of Numerators i.e. for 177,8128 is 1438656

GCF of denominators i.e. for 318,656 is 2.

Thus, LCM of Fractions is 719328.Finally, LCM of Fractions for 177/318, 8128/656 is 719328.