Least Common Multiple of 8028/838, 7764/7978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8028/838, 7764/7978 quickly i.e. 2597058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8028/838, 7764/7978 is 2597058.

LCM(8028/838, 7764/7978) = 2597058

LCM of 8028/838, 7764/7978

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 8028/838,7764/7978

Given numbers are 8028/838,7764/7978

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 8028,7764

Least Common Multiple of Numerators i.e. LCM of 8028,7764 is 5194116.

GCF of Denominators means GCF of 838,7978 as per the given fractions.

GCF of 838,7978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8028,7764

LCM of Fractions 8028/838,7764/7978 is 2597058

2 8028, 7764
2 4014, 3882
3 2007, 1941
669, 647

∴ So the LCM of the given numbers is 2 x 2 x 3 x 669 x 647 = 5194116

Least Common Multiple of 8028,7764 with GCF Formula

Least Common Multiple of 8028,7764 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 8028,7764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8028,7764) = 12

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

GCF(8028,7764) x common factors =12 x 1 = 12

LCM(8028,7764) = ( 8028 × 7764 ) / 12

LCM(8028,7764) = 62329392 / 12

LCM(8028,7764) = 5194116


Lets's calculate GCF of 838,7978

2 838, 7978
419, 3989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5194116/2

Therefore the LCM of Fractions 8028/838,7764/7978 is 2597058

Greatest Common Factor of 838,7978 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,7978 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1,2,3989,7978

Greatest Common Factor

We found the factors 838,7978 . The biggest common factor number is the GCF number.
So the greatest common factor 838,7978 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8028/838, 7764/7978

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 8028/838, 7764/7978?

Answer: LCM of Numerators as per given numbers 8028/838, 7764/7978 is

LCM of Numerators i.e. for 8028,7764 is 5194116

GCF of denominators i.e. for 838,7978 is 2.

Thus, LCM of Fractions is 2597058.Finally, LCM of Fractions for 8028/838, 7764/7978 is 2597058.