Least Common Multiple of 1197/275, 7582/5280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1197/275, 7582/5280 quickly i.e. 9075654/55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1197/275, 7582/5280 is 9075654/55.

LCM(1197/275, 7582/5280) = 9075654/55

LCM of 1197/275, 7582/5280

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 1197/275,7582/5280

Given numbers are 1197/275,7582/5280

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 1197,7582

Least Common Multiple of Numerators i.e. LCM of 1197,7582 is 9075654.

GCF of Denominators means GCF of 275,5280 as per the given fractions.

GCF of 275,5280 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1197,7582

LCM of Fractions 1197/275,7582/5280 is 9075654/55

Given numbers has no common factors except 1. So, there LCM is their product i.e 9075654

Least Common Multiple of 1197,7582 with GCF Formula

Least Common Multiple of 1197,7582 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 1197,7582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1197,7582) = 1

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

GCF(1197,7582) x common factors =1 x 1 = 1

LCM(1197,7582) = ( 1197 × 7582 ) / 1

LCM(1197,7582) = 9075654 / 1

LCM(1197,7582) = 9075654


Lets's calculate GCF of 275,5280

5 275, 5280
11 55, 1056
5, 96

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9075654/55

Therefore the LCM of Fractions 1197/275,7582/5280 is 9075654/55

Greatest Common Factor of 275,5280 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,5280 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280

Greatest Common Factor

We found the factors 275,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 275,5280 is 55.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1197/275, 7582/5280

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 1197/275, 7582/5280?

Answer: LCM of Numerators as per given numbers 1197/275, 7582/5280 is

LCM of Numerators i.e. for 1197,7582 is 9075654

GCF of denominators i.e. for 275,5280 is 55.

Thus, LCM of Fractions is 9075654/55.Finally, LCM of Fractions for 1197/275, 7582/5280 is 9075654/55.