Least Common Multiple of 550/48, 906/1596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/48, 906/1596 quickly i.e. 249150/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/48, 906/1596 is 249150/12.

LCM(550/48, 906/1596) = 249150/12

LCM of 550/48, 906/1596

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 550/48,906/1596

Given numbers are 550/48,906/1596

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 550,906

Least Common Multiple of Numerators i.e. LCM of 550,906 is 249150.

GCF of Denominators means GCF of 48,1596 as per the given fractions.

GCF of 48,1596 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,906

LCM of Fractions 550/48,906/1596 is 249150/12

2 550, 906
275, 453

∴ So the LCM of the given numbers is 2 x 275 x 453 = 249150

Least Common Multiple of 550,906 with GCF Formula

Least Common Multiple of 550,906 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 550,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,906) = 2

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

GCF(550,906) x common factors =2 x 1 = 2

LCM(550,906) = ( 550 × 906 ) / 2

LCM(550,906) = 498300 / 2

LCM(550,906) = 249150


Lets's calculate GCF of 48,1596

2 48, 1596
2 24, 798
3 12, 399
4, 133

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249150/12

Therefore the LCM of Fractions 550/48,906/1596 is 249150/12

Greatest Common Factor of 48,1596 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,1596 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors 48,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 48,1596 is 12.


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 550/48, 906/1596

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 550/48, 906/1596?

Answer: LCM of Numerators as per given numbers 550/48, 906/1596 is

LCM of Numerators i.e. for 550,906 is 249150

GCF of denominators i.e. for 48,1596 is 12.

Thus, LCM of Fractions is 249150/12.Finally, LCM of Fractions for 550/48, 906/1596 is 249150/12.