Least Common Multiple of 328/185, 8656/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/185, 8656/377 quickly i.e. 354896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/185, 8656/377 is 354896.

LCM(328/185, 8656/377) = 354896

LCM of 328/185, 8656/377

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 328/185,8656/377

Given numbers are 328/185,8656/377

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 328,8656

Least Common Multiple of Numerators i.e. LCM of 328,8656 is 354896.

GCF of Denominators means GCF of 185,377 as per the given fractions.

GCF of 185,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,8656

LCM of Fractions 328/185,8656/377 is 354896

2 328, 8656
2 164, 4328
2 82, 2164
41, 1082

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 1082 = 354896

Least Common Multiple of 328,8656 with GCF Formula

Least Common Multiple of 328,8656 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 328,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,8656) = 8

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

GCF(328,8656) x common factors =8 x 1 = 8

LCM(328,8656) = ( 328 × 8656 ) / 8

LCM(328,8656) = 2839168 / 8

LCM(328,8656) = 354896


Lets's calculate GCF of 185,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354896/1

Therefore the LCM of Fractions 328/185,8656/377 is 354896

Greatest Common Factor of 185,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,377 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 185,377 . The biggest common factor number is the GCF number.
So the greatest common factor 185,377 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 328/185, 8656/377

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 328/185, 8656/377?

Answer: LCM of Numerators as per given numbers 328/185, 8656/377 is

LCM of Numerators i.e. for 328,8656 is 354896

GCF of denominators i.e. for 185,377 is 1.

Thus, LCM of Fractions is 354896.Finally, LCM of Fractions for 328/185, 8656/377 is 354896.