Least Common Multiple of 45/339, 293/880, 533/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/339, 293/880, 533/168 quickly i.e. 7027605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/339, 293/880, 533/168 is 7027605.

LCM(45/339, 293/880, 533/168) = 7027605

LCM of 45/339, 293/880, 533/168

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 45/339,293/880,533/168

Given numbers are 45/339,293/880,533/168

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 45,293,533

Least Common Multiple of Numerators i.e. LCM of 45,293,533 is 7027605.

GCF of Denominators means GCF of 339,880,168 as per the given fractions.

GCF of 339,880,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,293,533

LCM of Fractions 45/339,293/880,533/168 is 7027605

Given numbers has no common factors except 1. So, there LCM is their product i.e 7027605

Least Common Multiple of 45,293,533 with GCF Formula

Least Common Multiple of 45,293,533 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 45,293,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,293,533) = 1

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

GCF(45,293,533) x common factors =1 x 1 = 1

LCM(45,293,533) = ( 45 × 293 × 533 ) / 1

LCM(45,293,533) = 7027605 / 1

LCM(45,293,533) = 7027605


Lets's calculate GCF of 339,880,168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7027605/1

Therefore the LCM of Fractions 45/339,293/880,533/168 is 7027605

Greatest Common Factor of 339,880,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,880,168 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

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

Greatest Common Factor

We found the factors 339,880,168 . The biggest common factor number is the GCF number.
So the greatest common factor 339,880,168 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 45/339, 293/880, 533/168

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 45/339, 293/880, 533/168?

Answer: LCM of Numerators as per given numbers 45/339, 293/880, 533/168 is

LCM of Numerators i.e. for 45,293,533 is 7027605

GCF of denominators i.e. for 339,880,168 is 1.

Thus, LCM of Fractions is 7027605.Finally, LCM of Fractions for 45/339, 293/880, 533/168 is 7027605.