Least Common Multiple of 33/157, 810/17, 288/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/157, 810/17, 288/833 quickly i.e. 142560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/157, 810/17, 288/833 is 142560.

LCM(33/157, 810/17, 288/833) = 142560

LCM of 33/157, 810/17, 288/833

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 33/157,810/17,288/833

Given numbers are 33/157,810/17,288/833

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 33,810,288

Least Common Multiple of Numerators i.e. LCM of 33,810,288 is 142560.

GCF of Denominators means GCF of 157,17,833 as per the given fractions.

GCF of 157,17,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,810,288

LCM of Fractions 33/157,810/17,288/833 is 142560

2 33, 810, 288
3 33, 405, 144
3 11, 135, 48
11, 45, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 45 x 16 = 142560

Least Common Multiple of 33,810,288 with GCF Formula

Least Common Multiple of 33,810,288 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 33,810,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,810,288) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(33,810,288) x common factors =3 x 18 = 54

LCM(33,810,288) = ( 33 × 810 × 288 ) / 54

LCM(33,810,288) = 7698240 / 54

LCM(33,810,288) = 142560


Lets's calculate GCF of 157,17,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142560/1

Therefore the LCM of Fractions 33/157,810/17,288/833 is 142560

Greatest Common Factor of 157,17,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,17,833 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 157,17,833 . The biggest common factor number is the GCF number.
So the greatest common factor 157,17,833 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 33/157, 810/17, 288/833

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 33/157, 810/17, 288/833?

Answer: LCM of Numerators as per given numbers 33/157, 810/17, 288/833 is

LCM of Numerators i.e. for 33,810,288 is 142560

GCF of denominators i.e. for 157,17,833 is 1.

Thus, LCM of Fractions is 142560.Finally, LCM of Fractions for 33/157, 810/17, 288/833 is 142560.