Least Common Multiple of 2848/552, 1828/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2848/552, 1828/706 quickly i.e. 650768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2848/552, 1828/706 is 650768.

LCM(2848/552, 1828/706) = 650768

LCM of 2848/552, 1828/706

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 2848/552,1828/706

Given numbers are 2848/552,1828/706

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 2848,1828

Least Common Multiple of Numerators i.e. LCM of 2848,1828 is 1301536.

GCF of Denominators means GCF of 552,706 as per the given fractions.

GCF of 552,706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2848,1828

LCM of Fractions 2848/552,1828/706 is 650768

2 2848, 1828
2 1424, 914
712, 457

∴ So the LCM of the given numbers is 2 x 2 x 712 x 457 = 1301536

Least Common Multiple of 2848,1828 with GCF Formula

Least Common Multiple of 2848,1828 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 2848,1828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2848,1828) = 4

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

GCF(2848,1828) x common factors =4 x 1 = 4

LCM(2848,1828) = ( 2848 × 1828 ) / 4

LCM(2848,1828) = 5206144 / 4

LCM(2848,1828) = 1301536


Lets's calculate GCF of 552,706

2 552, 706
276, 353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1301536/2

Therefore the LCM of Fractions 2848/552,1828/706 is 650768

Greatest Common Factor of 552,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,706 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 552,706 . The biggest common factor number is the GCF number.
So the greatest common factor 552,706 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 2848/552, 1828/706

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 2848/552, 1828/706?

Answer: LCM of Numerators as per given numbers 2848/552, 1828/706 is

LCM of Numerators i.e. for 2848,1828 is 1301536

GCF of denominators i.e. for 552,706 is 2.

Thus, LCM of Fractions is 650768.Finally, LCM of Fractions for 2848/552, 1828/706 is 650768.