Least Common Multiple of 5232/505, 1678/9533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5232/505, 1678/9533 quickly i.e. 4389648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5232/505, 1678/9533 is 4389648.

LCM(5232/505, 1678/9533) = 4389648

LCM of 5232/505, 1678/9533

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 5232/505,1678/9533

Given numbers are 5232/505,1678/9533

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 5232,1678

Least Common Multiple of Numerators i.e. LCM of 5232,1678 is 4389648.

GCF of Denominators means GCF of 505,9533 as per the given fractions.

GCF of 505,9533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5232,1678

LCM of Fractions 5232/505,1678/9533 is 4389648

2 5232, 1678
2616, 839

∴ So the LCM of the given numbers is 2 x 2616 x 839 = 4389648

Least Common Multiple of 5232,1678 with GCF Formula

Least Common Multiple of 5232,1678 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 5232,1678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5232,1678) = 2

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

GCF(5232,1678) x common factors =2 x 1 = 2

LCM(5232,1678) = ( 5232 × 1678 ) / 2

LCM(5232,1678) = 8779296 / 2

LCM(5232,1678) = 4389648


Lets's calculate GCF of 505,9533

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4389648/1

Therefore the LCM of Fractions 5232/505,1678/9533 is 4389648

Greatest Common Factor of 505,9533 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,9533 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 9533

List of positive integer factors of 9533 that divides 9533 without a remainder.

1,9533

Greatest Common Factor

We found the factors 505,9533 . The biggest common factor number is the GCF number.
So the greatest common factor 505,9533 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5232/505, 1678/9533

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 5232/505, 1678/9533?

Answer: LCM of Numerators as per given numbers 5232/505, 1678/9533 is

LCM of Numerators i.e. for 5232,1678 is 4389648

GCF of denominators i.e. for 505,9533 is 1.

Thus, LCM of Fractions is 4389648.Finally, LCM of Fractions for 5232/505, 1678/9533 is 4389648.