Least Common Multiple of 7208/551, 9572/4125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7208/551, 9572/4125 quickly i.e. 17248744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7208/551, 9572/4125 is 17248744.

LCM(7208/551, 9572/4125) = 17248744

LCM of 7208/551, 9572/4125

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 7208/551,9572/4125

Given numbers are 7208/551,9572/4125

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 7208,9572

Least Common Multiple of Numerators i.e. LCM of 7208,9572 is 17248744.

GCF of Denominators means GCF of 551,4125 as per the given fractions.

GCF of 551,4125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7208,9572

LCM of Fractions 7208/551,9572/4125 is 17248744

2 7208, 9572
2 3604, 4786
1802, 2393

∴ So the LCM of the given numbers is 2 x 2 x 1802 x 2393 = 17248744

Least Common Multiple of 7208,9572 with GCF Formula

Least Common Multiple of 7208,9572 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 7208,9572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7208,9572) = 4

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

GCF(7208,9572) x common factors =4 x 1 = 4

LCM(7208,9572) = ( 7208 × 9572 ) / 4

LCM(7208,9572) = 68994976 / 4

LCM(7208,9572) = 17248744


Lets's calculate GCF of 551,4125

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17248744/1

Therefore the LCM of Fractions 7208/551,9572/4125 is 17248744

Greatest Common Factor of 551,4125 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,4125 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Greatest Common Factor

We found the factors 551,4125 . The biggest common factor number is the GCF number.
So the greatest common factor 551,4125 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7208/551, 9572/4125

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 7208/551, 9572/4125?

Answer: LCM of Numerators as per given numbers 7208/551, 9572/4125 is

LCM of Numerators i.e. for 7208,9572 is 17248744

GCF of denominators i.e. for 551,4125 is 1.

Thus, LCM of Fractions is 17248744.Finally, LCM of Fractions for 7208/551, 9572/4125 is 17248744.