Least Common Multiple of 133/84, 717/24, 168/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 133/84, 717/24, 168/889 quickly i.e. 762888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/84, 717/24, 168/889 is 762888.

LCM(133/84, 717/24, 168/889) = 762888

LCM of 133/84, 717/24, 168/889

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 133/84,717/24,168/889

Given numbers are 133/84,717/24,168/889

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 133,717,168

Least Common Multiple of Numerators i.e. LCM of 133,717,168 is 762888.

GCF of Denominators means GCF of 84,24,889 as per the given fractions.

GCF of 84,24,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,717,168

LCM of Fractions 133/84,717/24,168/889 is 762888

3 133, 717, 168
7 133, 239, 56
19, 239, 8

∴ So the LCM of the given numbers is 3 x 7 x 19 x 239 x 8 = 762888

Least Common Multiple of 133,717,168 with GCF Formula

Least Common Multiple of 133,717,168 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 133,717,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,717,168) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(133,717,168) x common factors =1 x 21 = 21

LCM(133,717,168) = ( 133 × 717 × 168 ) / 21

LCM(133,717,168) = 16020648 / 21

LCM(133,717,168) = 762888


Lets's calculate GCF of 84,24,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 762888/1

Therefore the LCM of Fractions 133/84,717/24,168/889 is 762888

Greatest Common Factor of 84,24,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,24,889 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 84,24,889 . The biggest common factor number is the GCF number.
So the greatest common factor 84,24,889 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 133/84, 717/24, 168/889

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 133/84, 717/24, 168/889?

Answer: LCM of Numerators as per given numbers 133/84, 717/24, 168/889 is

LCM of Numerators i.e. for 133,717,168 is 762888

GCF of denominators i.e. for 84,24,889 is 1.

Thus, LCM of Fractions is 762888.Finally, LCM of Fractions for 133/84, 717/24, 168/889 is 762888.