Least Common Multiple of 364/70, 178/2318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/70, 178/2318 quickly i.e. 16198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/70, 178/2318 is 16198.

LCM(364/70, 178/2318) = 16198

LCM of 364/70, 178/2318

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 364/70,178/2318

Given numbers are 364/70,178/2318

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 364,178

Least Common Multiple of Numerators i.e. LCM of 364,178 is 32396.

GCF of Denominators means GCF of 70,2318 as per the given fractions.

GCF of 70,2318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,178

LCM of Fractions 364/70,178/2318 is 16198

2 364, 178
182, 89

∴ So the LCM of the given numbers is 2 x 182 x 89 = 32396

Least Common Multiple of 364,178 with GCF Formula

Least Common Multiple of 364,178 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 364,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,178) = 2

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

GCF(364,178) x common factors =2 x 1 = 2

LCM(364,178) = ( 364 × 178 ) / 2

LCM(364,178) = 64792 / 2

LCM(364,178) = 32396


Lets's calculate GCF of 70,2318

2 70, 2318
35, 1159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32396/2

Therefore the LCM of Fractions 364/70,178/2318 is 16198

Greatest Common Factor of 70,2318 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,2318 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 2318

List of positive integer factors of 2318 that divides 2318 without a remainder.

1,2,19,38,61,122,1159,2318

Greatest Common Factor

We found the factors 70,2318 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2318 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 364/70, 178/2318

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 364/70, 178/2318?

Answer: LCM of Numerators as per given numbers 364/70, 178/2318 is

LCM of Numerators i.e. for 364,178 is 32396

GCF of denominators i.e. for 70,2318 is 2.

Thus, LCM of Fractions is 16198.Finally, LCM of Fractions for 364/70, 178/2318 is 16198.