Least Common Multiple of 2848/512, 5028/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2848/512, 5028/840 quickly i.e. 447492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2848/512, 5028/840 is 447492.

LCM(2848/512, 5028/840) = 447492

LCM of 2848/512, 5028/840

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 2848/512,5028/840

Given numbers are 2848/512,5028/840

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 2848,5028

Least Common Multiple of Numerators i.e. LCM of 2848,5028 is 3579936.

GCF of Denominators means GCF of 512,840 as per the given fractions.

GCF of 512,840 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2848,5028

LCM of Fractions 2848/512,5028/840 is 447492

2 2848, 5028
2 1424, 2514
712, 1257

∴ So the LCM of the given numbers is 2 x 2 x 712 x 1257 = 3579936

Least Common Multiple of 2848,5028 with GCF Formula

Least Common Multiple of 2848,5028 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 2848,5028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2848,5028) = 4

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

GCF(2848,5028) x common factors =4 x 1 = 4

LCM(2848,5028) = ( 2848 × 5028 ) / 4

LCM(2848,5028) = 14319744 / 4

LCM(2848,5028) = 3579936


Lets's calculate GCF of 512,840

2 512, 840
2 256, 420
2 128, 210
64, 105

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3579936/8

Therefore the LCM of Fractions 2848/512,5028/840 is 447492

Greatest Common Factor of 512,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,840 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 512,840 . The biggest common factor number is the GCF number.
So the greatest common factor 512,840 is 8.


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 2848/512, 5028/840

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 2848/512, 5028/840?

Answer: LCM of Numerators as per given numbers 2848/512, 5028/840 is

LCM of Numerators i.e. for 2848,5028 is 3579936

GCF of denominators i.e. for 512,840 is 8.

Thus, LCM of Fractions is 447492.Finally, LCM of Fractions for 2848/512, 5028/840 is 447492.