Least Common Multiple of 69/482, 5052/3797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/482, 5052/3797 quickly i.e. 116196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/482, 5052/3797 is 116196.

LCM(69/482, 5052/3797) = 116196

LCM of 69/482, 5052/3797

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 69/482,5052/3797

Given numbers are 69/482,5052/3797

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 69,5052

Least Common Multiple of Numerators i.e. LCM of 69,5052 is 116196.

GCF of Denominators means GCF of 482,3797 as per the given fractions.

GCF of 482,3797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,5052

LCM of Fractions 69/482,5052/3797 is 116196

3 69, 5052
23, 1684

∴ So the LCM of the given numbers is 3 x 23 x 1684 = 116196

Least Common Multiple of 69,5052 with GCF Formula

Least Common Multiple of 69,5052 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 69,5052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,5052) = 3

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

GCF(69,5052) x common factors =3 x 1 = 3

LCM(69,5052) = ( 69 × 5052 ) / 3

LCM(69,5052) = 348588 / 3

LCM(69,5052) = 116196


Lets's calculate GCF of 482,3797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116196/1

Therefore the LCM of Fractions 69/482,5052/3797 is 116196

Greatest Common Factor of 482,3797 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,3797 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 3797

List of positive integer factors of 3797 that divides 3797 without a remainder.

1,3797

Greatest Common Factor

We found the factors 482,3797 . The biggest common factor number is the GCF number.
So the greatest common factor 482,3797 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/482, 5052/3797

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 69/482, 5052/3797?

Answer: LCM of Numerators as per given numbers 69/482, 5052/3797 is

LCM of Numerators i.e. for 69,5052 is 116196

GCF of denominators i.e. for 482,3797 is 1.

Thus, LCM of Fractions is 116196.Finally, LCM of Fractions for 69/482, 5052/3797 is 116196.