Least Common Multiple of 55/458, 50/804, 789/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/458, 50/804, 789/164 quickly i.e. 216975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/458, 50/804, 789/164 is 216975.

LCM(55/458, 50/804, 789/164) = 216975

LCM of 55/458, 50/804, 789/164

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 55/458,50/804,789/164

Given numbers are 55/458,50/804,789/164

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 55,50,789

Least Common Multiple of Numerators i.e. LCM of 55,50,789 is 433950.

GCF of Denominators means GCF of 458,804,164 as per the given fractions.

GCF of 458,804,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,50,789

LCM of Fractions 55/458,50/804,789/164 is 216975

5 55, 50, 789
11, 10, 789

∴ So the LCM of the given numbers is 5 x 11 x 10 x 789 = 433950

Least Common Multiple of 55,50,789 with GCF Formula

Least Common Multiple of 55,50,789 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 55,50,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,50,789) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,50,789) x common factors =1 x 5 = 5

LCM(55,50,789) = ( 55 × 50 × 789 ) / 5

LCM(55,50,789) = 2169750 / 5

LCM(55,50,789) = 433950


Lets's calculate GCF of 458,804,164

2 458, 804, 164
229, 402, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433950/2

Therefore the LCM of Fractions 55/458,50/804,789/164 is 216975

Greatest Common Factor of 458,804,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,804,164 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 458,804,164 . The biggest common factor number is the GCF number.
So the greatest common factor 458,804,164 is 2.


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 55/458, 50/804, 789/164

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 55/458, 50/804, 789/164?

Answer: LCM of Numerators as per given numbers 55/458, 50/804, 789/164 is

LCM of Numerators i.e. for 55,50,789 is 433950

GCF of denominators i.e. for 458,804,164 is 2.

Thus, LCM of Fractions is 216975.Finally, LCM of Fractions for 55/458, 50/804, 789/164 is 216975.