Least Common Multiple of 5402/224, 6256/8030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5402/224, 6256/8030 quickly i.e. 8448728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5402/224, 6256/8030 is 8448728.

LCM(5402/224, 6256/8030) = 8448728

LCM of 5402/224, 6256/8030

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 5402/224,6256/8030

Given numbers are 5402/224,6256/8030

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 5402,6256

Least Common Multiple of Numerators i.e. LCM of 5402,6256 is 16897456.

GCF of Denominators means GCF of 224,8030 as per the given fractions.

GCF of 224,8030 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5402,6256

LCM of Fractions 5402/224,6256/8030 is 8448728

2 5402, 6256
2701, 3128

∴ So the LCM of the given numbers is 2 x 2701 x 3128 = 16897456

Least Common Multiple of 5402,6256 with GCF Formula

Least Common Multiple of 5402,6256 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 5402,6256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5402,6256) = 2

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

GCF(5402,6256) x common factors =2 x 1 = 2

LCM(5402,6256) = ( 5402 × 6256 ) / 2

LCM(5402,6256) = 33794912 / 2

LCM(5402,6256) = 16897456


Lets's calculate GCF of 224,8030

2 224, 8030
112, 4015

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16897456/2

Therefore the LCM of Fractions 5402/224,6256/8030 is 8448728

Greatest Common Factor of 224,8030 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,8030 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 8030

List of positive integer factors of 8030 that divides 8030 without a remainder.

1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030

Greatest Common Factor

We found the factors 224,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 224,8030 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 5402/224, 6256/8030

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 5402/224, 6256/8030?

Answer: LCM of Numerators as per given numbers 5402/224, 6256/8030 is

LCM of Numerators i.e. for 5402,6256 is 16897456

GCF of denominators i.e. for 224,8030 is 2.

Thus, LCM of Fractions is 8448728.Finally, LCM of Fractions for 5402/224, 6256/8030 is 8448728.