Least Common Multiple of 9880/252, 7326/4080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9880/252, 7326/4080 quickly i.e. 3015870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9880/252, 7326/4080 is 3015870.

LCM(9880/252, 7326/4080) = 3015870

LCM of 9880/252, 7326/4080

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 9880/252,7326/4080

Given numbers are 9880/252,7326/4080

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 9880,7326

Least Common Multiple of Numerators i.e. LCM of 9880,7326 is 36190440.

GCF of Denominators means GCF of 252,4080 as per the given fractions.

GCF of 252,4080 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9880,7326

LCM of Fractions 9880/252,7326/4080 is 3015870

2 9880, 7326
4940, 3663

∴ So the LCM of the given numbers is 2 x 4940 x 3663 = 36190440

Least Common Multiple of 9880,7326 with GCF Formula

Least Common Multiple of 9880,7326 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 9880,7326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9880,7326) = 2

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

GCF(9880,7326) x common factors =2 x 1 = 2

LCM(9880,7326) = ( 9880 × 7326 ) / 2

LCM(9880,7326) = 72380880 / 2

LCM(9880,7326) = 36190440


Lets's calculate GCF of 252,4080

2 252, 4080
2 126, 2040
3 63, 1020
21, 340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36190440/12

Therefore the LCM of Fractions 9880/252,7326/4080 is 3015870

Greatest Common Factor of 252,4080 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,4080 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Greatest Common Factor

We found the factors 252,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 252,4080 is 12.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9880/252, 7326/4080

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 9880/252, 7326/4080?

Answer: LCM of Numerators as per given numbers 9880/252, 7326/4080 is

LCM of Numerators i.e. for 9880,7326 is 36190440

GCF of denominators i.e. for 252,4080 is 12.

Thus, LCM of Fractions is 3015870.Finally, LCM of Fractions for 9880/252, 7326/4080 is 3015870.