Least Common Multiple of 678/194, 1523/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/194, 1523/112 quickly i.e. 516297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/194, 1523/112 is 516297.

LCM(678/194, 1523/112) = 516297

LCM of 678/194, 1523/112

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 678/194,1523/112

Given numbers are 678/194,1523/112

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 678,1523

Least Common Multiple of Numerators i.e. LCM of 678,1523 is 1032594.

GCF of Denominators means GCF of 194,112 as per the given fractions.

GCF of 194,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,1523

LCM of Fractions 678/194,1523/112 is 516297

Given numbers has no common factors except 1. So, there LCM is their product i.e 1032594

Least Common Multiple of 678,1523 with GCF Formula

Least Common Multiple of 678,1523 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 678,1523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,1523) = 1

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

GCF(678,1523) x common factors =1 x 1 = 1

LCM(678,1523) = ( 678 × 1523 ) / 1

LCM(678,1523) = 1032594 / 1

LCM(678,1523) = 1032594


Lets's calculate GCF of 194,112

2 194, 112
97, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1032594/2

Therefore the LCM of Fractions 678/194,1523/112 is 516297

Greatest Common Factor of 194,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,112 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 194,112 . The biggest common factor number is the GCF number.
So the greatest common factor 194,112 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 678/194, 1523/112

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 678/194, 1523/112?

Answer: LCM of Numerators as per given numbers 678/194, 1523/112 is

LCM of Numerators i.e. for 678,1523 is 1032594

GCF of denominators i.e. for 194,112 is 2.

Thus, LCM of Fractions is 516297.Finally, LCM of Fractions for 678/194, 1523/112 is 516297.