Least Common Multiple of 389/44, 313/17, 440/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/44, 313/17, 440/748 quickly i.e. 53573080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/44, 313/17, 440/748 is 53573080.

LCM(389/44, 313/17, 440/748) = 53573080

LCM of 389/44, 313/17, 440/748

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 389/44,313/17,440/748

Given numbers are 389/44,313/17,440/748

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 389,313,440

Least Common Multiple of Numerators i.e. LCM of 389,313,440 is 53573080.

GCF of Denominators means GCF of 44,17,748 as per the given fractions.

GCF of 44,17,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,313,440

LCM of Fractions 389/44,313/17,440/748 is 53573080

Given numbers has no common factors except 1. So, there LCM is their product i.e 53573080

Least Common Multiple of 389,313,440 with GCF Formula

Least Common Multiple of 389,313,440 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 389,313,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,313,440) = 1

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

GCF(389,313,440) x common factors =1 x 1 = 1

LCM(389,313,440) = ( 389 × 313 × 440 ) / 1

LCM(389,313,440) = 53573080 / 1

LCM(389,313,440) = 53573080


Lets's calculate GCF of 44,17,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53573080/1

Therefore the LCM of Fractions 389/44,313/17,440/748 is 53573080

Greatest Common Factor of 44,17,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,17,748 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 44,17,748 . The biggest common factor number is the GCF number.
So the greatest common factor 44,17,748 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 389/44, 313/17, 440/748

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 389/44, 313/17, 440/748?

Answer: LCM of Numerators as per given numbers 389/44, 313/17, 440/748 is

LCM of Numerators i.e. for 389,313,440 is 53573080

GCF of denominators i.e. for 44,17,748 is 1.

Thus, LCM of Fractions is 53573080.Finally, LCM of Fractions for 389/44, 313/17, 440/748 is 53573080.