Least Common Multiple of 550/96, 696/6236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 550/96, 696/6236 quickly i.e. 47850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/96, 696/6236 is 47850.

LCM(550/96, 696/6236) = 47850

LCM of 550/96, 696/6236

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 550/96,696/6236

Given numbers are 550/96,696/6236

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 550,696

Least Common Multiple of Numerators i.e. LCM of 550,696 is 191400.

GCF of Denominators means GCF of 96,6236 as per the given fractions.

GCF of 96,6236 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,696

LCM of Fractions 550/96,696/6236 is 47850

2 550, 696
275, 348

∴ So the LCM of the given numbers is 2 x 275 x 348 = 191400

Least Common Multiple of 550,696 with GCF Formula

Least Common Multiple of 550,696 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 550,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,696) = 2

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

GCF(550,696) x common factors =2 x 1 = 2

LCM(550,696) = ( 550 × 696 ) / 2

LCM(550,696) = 382800 / 2

LCM(550,696) = 191400


Lets's calculate GCF of 96,6236

2 96, 6236
2 48, 3118
24, 1559

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191400/4

Therefore the LCM of Fractions 550/96,696/6236 is 47850

Greatest Common Factor of 96,6236 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,6236 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 6236

List of positive integer factors of 6236 that divides 6236 without a remainder.

1,2,4,1559,3118,6236

Greatest Common Factor

We found the factors 96,6236 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6236 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 550/96, 696/6236

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 550/96, 696/6236?

Answer: LCM of Numerators as per given numbers 550/96, 696/6236 is

LCM of Numerators i.e. for 550,696 is 191400

GCF of denominators i.e. for 96,6236 is 4.

Thus, LCM of Fractions is 47850.Finally, LCM of Fractions for 550/96, 696/6236 is 47850.