Least Common Multiple of 7064/998, 6876/8816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7064/998, 6876/8816 quickly i.e. 6071508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7064/998, 6876/8816 is 6071508.

LCM(7064/998, 6876/8816) = 6071508

LCM of 7064/998, 6876/8816

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 7064/998,6876/8816

Given numbers are 7064/998,6876/8816

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 7064,6876

Least Common Multiple of Numerators i.e. LCM of 7064,6876 is 12143016.

GCF of Denominators means GCF of 998,8816 as per the given fractions.

GCF of 998,8816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7064,6876

LCM of Fractions 7064/998,6876/8816 is 6071508

2 7064, 6876
2 3532, 3438
1766, 1719

∴ So the LCM of the given numbers is 2 x 2 x 1766 x 1719 = 12143016

Least Common Multiple of 7064,6876 with GCF Formula

Least Common Multiple of 7064,6876 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 7064,6876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7064,6876) = 4

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

GCF(7064,6876) x common factors =4 x 1 = 4

LCM(7064,6876) = ( 7064 × 6876 ) / 4

LCM(7064,6876) = 48572064 / 4

LCM(7064,6876) = 12143016


Lets's calculate GCF of 998,8816

2 998, 8816
499, 4408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12143016/2

Therefore the LCM of Fractions 7064/998,6876/8816 is 6071508

Greatest Common Factor of 998,8816 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,8816 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Greatest Common Factor

We found the factors 998,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 998,8816 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 7064/998, 6876/8816

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 7064/998, 6876/8816?

Answer: LCM of Numerators as per given numbers 7064/998, 6876/8816 is

LCM of Numerators i.e. for 7064,6876 is 12143016

GCF of denominators i.e. for 998,8816 is 2.

Thus, LCM of Fractions is 6071508.Finally, LCM of Fractions for 7064/998, 6876/8816 is 6071508.