Least Common Multiple of 2649/122, 9452/1050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2649/122, 9452/1050 quickly i.e. 12519174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2649/122, 9452/1050 is 12519174.

LCM(2649/122, 9452/1050) = 12519174

LCM of 2649/122, 9452/1050

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 2649/122,9452/1050

Given numbers are 2649/122,9452/1050

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 2649,9452

Least Common Multiple of Numerators i.e. LCM of 2649,9452 is 25038348.

GCF of Denominators means GCF of 122,1050 as per the given fractions.

GCF of 122,1050 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2649,9452

LCM of Fractions 2649/122,9452/1050 is 12519174

Given numbers has no common factors except 1. So, there LCM is their product i.e 25038348

Least Common Multiple of 2649,9452 with GCF Formula

Least Common Multiple of 2649,9452 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 2649,9452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2649,9452) = 1

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

GCF(2649,9452) x common factors =1 x 1 = 1

LCM(2649,9452) = ( 2649 × 9452 ) / 1

LCM(2649,9452) = 25038348 / 1

LCM(2649,9452) = 25038348


Lets's calculate GCF of 122,1050

2 122, 1050
61, 525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25038348/2

Therefore the LCM of Fractions 2649/122,9452/1050 is 12519174

Greatest Common Factor of 122,1050 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,1050 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Greatest Common Factor

We found the factors 122,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 122,1050 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2649/122, 9452/1050

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 2649/122, 9452/1050?

Answer: LCM of Numerators as per given numbers 2649/122, 9452/1050 is

LCM of Numerators i.e. for 2649,9452 is 25038348

GCF of denominators i.e. for 122,1050 is 2.

Thus, LCM of Fractions is 12519174.Finally, LCM of Fractions for 2649/122, 9452/1050 is 12519174.