Least Common Multiple of 802/38, 401/7986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/38, 401/7986 quickly i.e. 401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/38, 401/7986 is 401.

LCM(802/38, 401/7986) = 401

LCM of 802/38, 401/7986

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 802/38,401/7986

Given numbers are 802/38,401/7986

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 802,401

Least Common Multiple of Numerators i.e. LCM of 802,401 is 802.

GCF of Denominators means GCF of 38,7986 as per the given fractions.

GCF of 38,7986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,401

LCM of Fractions 802/38,401/7986 is 401

401 802, 401
2, 1

∴ So the LCM of the given numbers is 401 x 2 x 1 = 802

Least Common Multiple of 802,401 with GCF Formula

Least Common Multiple of 802,401 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 802,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,401) = 401

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

GCF(802,401) x common factors =401 x 1 = 401

LCM(802,401) = ( 802 × 401 ) / 401

LCM(802,401) = 321602 / 401

LCM(802,401) = 802


Lets's calculate GCF of 38,7986

2 38, 7986
19, 3993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 802/2

Therefore the LCM of Fractions 802/38,401/7986 is 401

Greatest Common Factor of 38,7986 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,7986 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 7986

List of positive integer factors of 7986 that divides 7986 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986

Greatest Common Factor

We found the factors 38,7986 . The biggest common factor number is the GCF number.
So the greatest common factor 38,7986 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/38, 401/7986

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 802/38, 401/7986?

Answer: LCM of Numerators as per given numbers 802/38, 401/7986 is

LCM of Numerators i.e. for 802,401 is 802

GCF of denominators i.e. for 38,7986 is 2.

Thus, LCM of Fractions is 401.Finally, LCM of Fractions for 802/38, 401/7986 is 401.