Least Common Multiple of 8020/414, 7166/4824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8020/414, 7166/4824 quickly i.e. 28735660/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8020/414, 7166/4824 is 28735660/18.

LCM(8020/414, 7166/4824) = 28735660/18

LCM of 8020/414, 7166/4824

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 8020/414,7166/4824

Given numbers are 8020/414,7166/4824

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 8020,7166

Least Common Multiple of Numerators i.e. LCM of 8020,7166 is 28735660.

GCF of Denominators means GCF of 414,4824 as per the given fractions.

GCF of 414,4824 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8020,7166

LCM of Fractions 8020/414,7166/4824 is 28735660/18

2 8020, 7166
4010, 3583

∴ So the LCM of the given numbers is 2 x 4010 x 3583 = 28735660

Least Common Multiple of 8020,7166 with GCF Formula

Least Common Multiple of 8020,7166 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 8020,7166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8020,7166) = 2

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

GCF(8020,7166) x common factors =2 x 1 = 2

LCM(8020,7166) = ( 8020 × 7166 ) / 2

LCM(8020,7166) = 57471320 / 2

LCM(8020,7166) = 28735660


Lets's calculate GCF of 414,4824

2 414, 4824
3 207, 2412
3 69, 804
23, 268

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28735660/18

Therefore the LCM of Fractions 8020/414,7166/4824 is 28735660/18

Greatest Common Factor of 414,4824 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,4824 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Greatest Common Factor

We found the factors 414,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 414,4824 is 18.


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 8020/414, 7166/4824

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 8020/414, 7166/4824?

Answer: LCM of Numerators as per given numbers 8020/414, 7166/4824 is

LCM of Numerators i.e. for 8020,7166 is 28735660

GCF of denominators i.e. for 414,4824 is 18.

Thus, LCM of Fractions is 28735660/18.Finally, LCM of Fractions for 8020/414, 7166/4824 is 28735660/18.