Least Common Multiple of 1872/530, 3328/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1872/530, 3328/293 quickly i.e. 29952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1872/530, 3328/293 is 29952.

LCM(1872/530, 3328/293) = 29952

LCM of 1872/530, 3328/293

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 1872/530,3328/293

Given numbers are 1872/530,3328/293

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 1872,3328

Least Common Multiple of Numerators i.e. LCM of 1872,3328 is 29952.

GCF of Denominators means GCF of 530,293 as per the given fractions.

GCF of 530,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1872,3328

LCM of Fractions 1872/530,3328/293 is 29952

2 1872, 3328
2 936, 1664
2 468, 832
2 234, 416
13 117, 208
9, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 9 x 16 = 29952

Least Common Multiple of 1872,3328 with GCF Formula

Least Common Multiple of 1872,3328 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 1872,3328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1872,3328) = 208

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

GCF(1872,3328) x common factors =208 x 1 = 208

LCM(1872,3328) = ( 1872 × 3328 ) / 208

LCM(1872,3328) = 6230016 / 208

LCM(1872,3328) = 29952


Lets's calculate GCF of 530,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29952/1

Therefore the LCM of Fractions 1872/530,3328/293 is 29952

Greatest Common Factor of 530,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,293 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 530,293 . The biggest common factor number is the GCF number.
So the greatest common factor 530,293 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1872/530, 3328/293

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 1872/530, 3328/293?

Answer: LCM of Numerators as per given numbers 1872/530, 3328/293 is

LCM of Numerators i.e. for 1872,3328 is 29952

GCF of denominators i.e. for 530,293 is 1.

Thus, LCM of Fractions is 29952.Finally, LCM of Fractions for 1872/530, 3328/293 is 29952.