Least Common Multiple of 4969/194, 1350/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4969/194, 1350/344 quickly i.e. 3354075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4969/194, 1350/344 is 3354075.

LCM(4969/194, 1350/344) = 3354075

LCM of 4969/194, 1350/344

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 4969/194,1350/344

Given numbers are 4969/194,1350/344

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 4969,1350

Least Common Multiple of Numerators i.e. LCM of 4969,1350 is 6708150.

GCF of Denominators means GCF of 194,344 as per the given fractions.

GCF of 194,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4969,1350

LCM of Fractions 4969/194,1350/344 is 3354075

Given numbers has no common factors except 1. So, there LCM is their product i.e 6708150

Least Common Multiple of 4969,1350 with GCF Formula

Least Common Multiple of 4969,1350 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 4969,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4969,1350) = 1

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

GCF(4969,1350) x common factors =1 x 1 = 1

LCM(4969,1350) = ( 4969 × 1350 ) / 1

LCM(4969,1350) = 6708150 / 1

LCM(4969,1350) = 6708150


Lets's calculate GCF of 194,344

2 194, 344
97, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6708150/2

Therefore the LCM of Fractions 4969/194,1350/344 is 3354075

Greatest Common Factor of 194,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,344 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 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 194,344 . The biggest common factor number is the GCF number.
So the greatest common factor 194,344 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 4969/194, 1350/344

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 4969/194, 1350/344?

Answer: LCM of Numerators as per given numbers 4969/194, 1350/344 is

LCM of Numerators i.e. for 4969,1350 is 6708150

GCF of denominators i.e. for 194,344 is 2.

Thus, LCM of Fractions is 3354075.Finally, LCM of Fractions for 4969/194, 1350/344 is 3354075.