Least Common Multiple of 202/728, 825/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 202/728, 825/388 quickly i.e. 166650/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 202/728, 825/388 is 166650/4.

LCM(202/728, 825/388) = 166650/4

LCM of 202/728, 825/388

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 202/728,825/388

Given numbers are 202/728,825/388

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 202,825

Least Common Multiple of Numerators i.e. LCM of 202,825 is 166650.

GCF of Denominators means GCF of 728,388 as per the given fractions.

GCF of 728,388 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 202,825

LCM of Fractions 202/728,825/388 is 166650/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 166650

Least Common Multiple of 202,825 with GCF Formula

Least Common Multiple of 202,825 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 202,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,825) = 1

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

GCF(202,825) x common factors =1 x 1 = 1

LCM(202,825) = ( 202 × 825 ) / 1

LCM(202,825) = 166650 / 1

LCM(202,825) = 166650


Lets's calculate GCF of 728,388

2 728, 388
2 364, 194
182, 97

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166650/4

Therefore the LCM of Fractions 202/728,825/388 is 166650/4

Greatest Common Factor of 728,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,388 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 728,388 . The biggest common factor number is the GCF number.
So the greatest common factor 728,388 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 202/728, 825/388

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 202/728, 825/388?

Answer: LCM of Numerators as per given numbers 202/728, 825/388 is

LCM of Numerators i.e. for 202,825 is 166650

GCF of denominators i.e. for 728,388 is 4.

Thus, LCM of Fractions is 166650/4.Finally, LCM of Fractions for 202/728, 825/388 is 166650/4.