Least Common Multiple of 4848/52, 5780/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4848/52, 5780/826 quickly i.e. 3502680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4848/52, 5780/826 is 3502680.

LCM(4848/52, 5780/826) = 3502680

LCM of 4848/52, 5780/826

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 4848/52,5780/826

Given numbers are 4848/52,5780/826

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 4848,5780

Least Common Multiple of Numerators i.e. LCM of 4848,5780 is 7005360.

GCF of Denominators means GCF of 52,826 as per the given fractions.

GCF of 52,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4848,5780

LCM of Fractions 4848/52,5780/826 is 3502680

2 4848, 5780
2 2424, 2890
1212, 1445

∴ So the LCM of the given numbers is 2 x 2 x 1212 x 1445 = 7005360

Least Common Multiple of 4848,5780 with GCF Formula

Least Common Multiple of 4848,5780 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 4848,5780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4848,5780) = 4

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

GCF(4848,5780) x common factors =4 x 1 = 4

LCM(4848,5780) = ( 4848 × 5780 ) / 4

LCM(4848,5780) = 28021440 / 4

LCM(4848,5780) = 7005360


Lets's calculate GCF of 52,826

2 52, 826
26, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7005360/2

Therefore the LCM of Fractions 4848/52,5780/826 is 3502680

Greatest Common Factor of 52,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,826 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 52,826 . The biggest common factor number is the GCF number.
So the greatest common factor 52,826 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4848/52, 5780/826

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 4848/52, 5780/826?

Answer: LCM of Numerators as per given numbers 4848/52, 5780/826 is

LCM of Numerators i.e. for 4848,5780 is 7005360

GCF of denominators i.e. for 52,826 is 2.

Thus, LCM of Fractions is 3502680.Finally, LCM of Fractions for 4848/52, 5780/826 is 3502680.