Least Common Multiple of 196/544, 5049/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/544, 5049/904 quickly i.e. 989604/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/544, 5049/904 is 989604/8.

LCM(196/544, 5049/904) = 989604/8

LCM of 196/544, 5049/904

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 196/544,5049/904

Given numbers are 196/544,5049/904

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 196,5049

Least Common Multiple of Numerators i.e. LCM of 196,5049 is 989604.

GCF of Denominators means GCF of 544,904 as per the given fractions.

GCF of 544,904 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,5049

LCM of Fractions 196/544,5049/904 is 989604/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 989604

Least Common Multiple of 196,5049 with GCF Formula

Least Common Multiple of 196,5049 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 196,5049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,5049) = 1

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

GCF(196,5049) x common factors =1 x 1 = 1

LCM(196,5049) = ( 196 × 5049 ) / 1

LCM(196,5049) = 989604 / 1

LCM(196,5049) = 989604


Lets's calculate GCF of 544,904

2 544, 904
2 272, 452
2 136, 226
68, 113

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 989604/8

Therefore the LCM of Fractions 196/544,5049/904 is 989604/8

Greatest Common Factor of 544,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,904 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 544,904 . The biggest common factor number is the GCF number.
So the greatest common factor 544,904 is 8.


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 196/544, 5049/904

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 196/544, 5049/904?

Answer: LCM of Numerators as per given numbers 196/544, 5049/904 is

LCM of Numerators i.e. for 196,5049 is 989604

GCF of denominators i.e. for 544,904 is 8.

Thus, LCM of Fractions is 989604/8.Finally, LCM of Fractions for 196/544, 5049/904 is 989604/8.