Least Common Multiple of 450/168, 778/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/168, 778/333 quickly i.e. 58350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/168, 778/333 is 58350.

LCM(450/168, 778/333) = 58350

LCM of 450/168, 778/333

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 450/168,778/333

Given numbers are 450/168,778/333

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 450,778

Least Common Multiple of Numerators i.e. LCM of 450,778 is 175050.

GCF of Denominators means GCF of 168,333 as per the given fractions.

GCF of 168,333 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,778

LCM of Fractions 450/168,778/333 is 58350

2 450, 778
225, 389

∴ So the LCM of the given numbers is 2 x 225 x 389 = 175050

Least Common Multiple of 450,778 with GCF Formula

Least Common Multiple of 450,778 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 450,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,778) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(450,778) x common factors =2 x 1 = 2

LCM(450,778) = ( 450 × 778 ) / 2

LCM(450,778) = 350100 / 2

LCM(450,778) = 175050


Lets's calculate GCF of 168,333

3 168, 333
56, 111

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175050/3

Therefore the LCM of Fractions 450/168,778/333 is 58350

Greatest Common Factor of 168,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,333 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 168,333 . The biggest common factor number is the GCF number.
So the greatest common factor 168,333 is 3.


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 450/168, 778/333

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 450/168, 778/333?

Answer: LCM of Numerators as per given numbers 450/168, 778/333 is

LCM of Numerators i.e. for 450,778 is 175050

GCF of denominators i.e. for 168,333 is 3.

Thus, LCM of Fractions is 58350.Finally, LCM of Fractions for 450/168, 778/333 is 58350.