Least Common Multiple of 33/610, 752/214, 424/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/610, 752/214, 424/549 quickly i.e. 1315248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/610, 752/214, 424/549 is 1315248.

LCM(33/610, 752/214, 424/549) = 1315248

LCM of 33/610, 752/214, 424/549

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 33/610,752/214,424/549

Given numbers are 33/610,752/214,424/549

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 33,752,424

Least Common Multiple of Numerators i.e. LCM of 33,752,424 is 1315248.

GCF of Denominators means GCF of 610,214,549 as per the given fractions.

GCF of 610,214,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,752,424

LCM of Fractions 33/610,752/214,424/549 is 1315248

2 33, 752, 424
2 33, 376, 212
2 33, 188, 106
33, 94, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 33 x 94 x 53 = 1315248

Least Common Multiple of 33,752,424 with GCF Formula

Least Common Multiple of 33,752,424 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 33,752,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,752,424) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(33,752,424) x common factors =1 x 8 = 8

LCM(33,752,424) = ( 33 × 752 × 424 ) / 8

LCM(33,752,424) = 10521984 / 8

LCM(33,752,424) = 1315248


Lets's calculate GCF of 610,214,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1315248/1

Therefore the LCM of Fractions 33/610,752/214,424/549 is 1315248

Greatest Common Factor of 610,214,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,214,549 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 610,214,549 . The biggest common factor number is the GCF number.
So the greatest common factor 610,214,549 is 1.


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 33/610, 752/214, 424/549

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 33/610, 752/214, 424/549?

Answer: LCM of Numerators as per given numbers 33/610, 752/214, 424/549 is

LCM of Numerators i.e. for 33,752,424 is 1315248

GCF of denominators i.e. for 610,214,549 is 1.

Thus, LCM of Fractions is 1315248.Finally, LCM of Fractions for 33/610, 752/214, 424/549 is 1315248.