Least Common Multiple of 5203/704, 8560/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5203/704, 8560/258 quickly i.e. 22268840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5203/704, 8560/258 is 22268840.

LCM(5203/704, 8560/258) = 22268840

LCM of 5203/704, 8560/258

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 5203/704,8560/258

Given numbers are 5203/704,8560/258

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 5203,8560

Least Common Multiple of Numerators i.e. LCM of 5203,8560 is 44537680.

GCF of Denominators means GCF of 704,258 as per the given fractions.

GCF of 704,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5203,8560

LCM of Fractions 5203/704,8560/258 is 22268840

Given numbers has no common factors except 1. So, there LCM is their product i.e 44537680

Least Common Multiple of 5203,8560 with GCF Formula

Least Common Multiple of 5203,8560 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 5203,8560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5203,8560) = 1

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

GCF(5203,8560) x common factors =1 x 1 = 1

LCM(5203,8560) = ( 5203 × 8560 ) / 1

LCM(5203,8560) = 44537680 / 1

LCM(5203,8560) = 44537680


Lets's calculate GCF of 704,258

2 704, 258
352, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44537680/2

Therefore the LCM of Fractions 5203/704,8560/258 is 22268840

Greatest Common Factor of 704,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,258 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 704,258 . The biggest common factor number is the GCF number.
So the greatest common factor 704,258 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5203/704, 8560/258

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 5203/704, 8560/258?

Answer: LCM of Numerators as per given numbers 5203/704, 8560/258 is

LCM of Numerators i.e. for 5203,8560 is 44537680

GCF of denominators i.e. for 704,258 is 2.

Thus, LCM of Fractions is 22268840.Finally, LCM of Fractions for 5203/704, 8560/258 is 22268840.