Least Common Multiple of 9202/48, 5620/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9202/48, 5620/486 quickly i.e. 25857620/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9202/48, 5620/486 is 25857620/6.

LCM(9202/48, 5620/486) = 25857620/6

LCM of 9202/48, 5620/486

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 9202/48,5620/486

Given numbers are 9202/48,5620/486

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 9202,5620

Least Common Multiple of Numerators i.e. LCM of 9202,5620 is 25857620.

GCF of Denominators means GCF of 48,486 as per the given fractions.

GCF of 48,486 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9202,5620

LCM of Fractions 9202/48,5620/486 is 25857620/6

2 9202, 5620
4601, 2810

∴ So the LCM of the given numbers is 2 x 4601 x 2810 = 25857620

Least Common Multiple of 9202,5620 with GCF Formula

Least Common Multiple of 9202,5620 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 9202,5620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9202,5620) = 2

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

GCF(9202,5620) x common factors =2 x 1 = 2

LCM(9202,5620) = ( 9202 × 5620 ) / 2

LCM(9202,5620) = 51715240 / 2

LCM(9202,5620) = 25857620


Lets's calculate GCF of 48,486

2 48, 486
3 24, 243
8, 81

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25857620/6

Therefore the LCM of Fractions 9202/48,5620/486 is 25857620/6

Greatest Common Factor of 48,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,486 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 48,486 . The biggest common factor number is the GCF number.
So the greatest common factor 48,486 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9202/48, 5620/486

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 9202/48, 5620/486?

Answer: LCM of Numerators as per given numbers 9202/48, 5620/486 is

LCM of Numerators i.e. for 9202,5620 is 25857620

GCF of denominators i.e. for 48,486 is 6.

Thus, LCM of Fractions is 25857620/6.Finally, LCM of Fractions for 9202/48, 5620/486 is 25857620/6.