Least Common Multiple of 3898/99, 1220/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3898/99, 1220/249 quickly i.e. 2377780/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3898/99, 1220/249 is 2377780/3.

LCM(3898/99, 1220/249) = 2377780/3

LCM of 3898/99, 1220/249

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 3898/99,1220/249

Given numbers are 3898/99,1220/249

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 3898,1220

Least Common Multiple of Numerators i.e. LCM of 3898,1220 is 2377780.

GCF of Denominators means GCF of 99,249 as per the given fractions.

GCF of 99,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3898,1220

LCM of Fractions 3898/99,1220/249 is 2377780/3

2 3898, 1220
1949, 610

∴ So the LCM of the given numbers is 2 x 1949 x 610 = 2377780

Least Common Multiple of 3898,1220 with GCF Formula

Least Common Multiple of 3898,1220 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 3898,1220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3898,1220) = 2

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

GCF(3898,1220) x common factors =2 x 1 = 2

LCM(3898,1220) = ( 3898 × 1220 ) / 2

LCM(3898,1220) = 4755560 / 2

LCM(3898,1220) = 2377780


Lets's calculate GCF of 99,249

3 99, 249
33, 83

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2377780/3

Therefore the LCM of Fractions 3898/99,1220/249 is 2377780/3

Greatest Common Factor of 99,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,249 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 99,249 . The biggest common factor number is the GCF number.
So the greatest common factor 99,249 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3898/99, 1220/249

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 3898/99, 1220/249?

Answer: LCM of Numerators as per given numbers 3898/99, 1220/249 is

LCM of Numerators i.e. for 3898,1220 is 2377780

GCF of denominators i.e. for 99,249 is 3.

Thus, LCM of Fractions is 2377780/3.Finally, LCM of Fractions for 3898/99, 1220/249 is 2377780/3.