Least Common Multiple of 168/45, 441/50, 862/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 168/45, 441/50, 862/79 quickly i.e. 1520568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/45, 441/50, 862/79 is 1520568.

LCM(168/45, 441/50, 862/79) = 1520568

LCM of 168/45, 441/50, 862/79

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 168/45,441/50,862/79

Given numbers are 168/45,441/50,862/79

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 168,441,862

Least Common Multiple of Numerators i.e. LCM of 168,441,862 is 1520568.

GCF of Denominators means GCF of 45,50,79 as per the given fractions.

GCF of 45,50,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,441,862

LCM of Fractions 168/45,441/50,862/79 is 1520568

2 168, 441, 862
3 84, 441, 431
7 28, 147, 431
4, 21, 431

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 21 x 431 = 1520568

Least Common Multiple of 168,441,862 with GCF Formula

Least Common Multiple of 168,441,862 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 168,441,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,441,862) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(168,441,862) x common factors =1 x 42 = 42

LCM(168,441,862) = ( 168 × 441 × 862 ) / 42

LCM(168,441,862) = 63863856 / 42

LCM(168,441,862) = 1520568


Lets's calculate GCF of 45,50,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1520568/1

Therefore the LCM of Fractions 168/45,441/50,862/79 is 1520568

Greatest Common Factor of 45,50,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,50,79 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 45,50,79 . The biggest common factor number is the GCF number.
So the greatest common factor 45,50,79 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 168/45, 441/50, 862/79

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 168/45, 441/50, 862/79?

Answer: LCM of Numerators as per given numbers 168/45, 441/50, 862/79 is

LCM of Numerators i.e. for 168,441,862 is 1520568

GCF of denominators i.e. for 45,50,79 is 1.

Thus, LCM of Fractions is 1520568.Finally, LCM of Fractions for 168/45, 441/50, 862/79 is 1520568.