Least Common Multiple of 31/313, 75/850, 338/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/313, 75/850, 338/374 quickly i.e. 785850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/313, 75/850, 338/374 is 785850.

LCM(31/313, 75/850, 338/374) = 785850

LCM of 31/313, 75/850, 338/374

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 31/313,75/850,338/374

Given numbers are 31/313,75/850,338/374

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 31,75,338

Least Common Multiple of Numerators i.e. LCM of 31,75,338 is 785850.

GCF of Denominators means GCF of 313,850,374 as per the given fractions.

GCF of 313,850,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,75,338

LCM of Fractions 31/313,75/850,338/374 is 785850

Given numbers has no common factors except 1. So, there LCM is their product i.e 785850

Least Common Multiple of 31,75,338 with GCF Formula

Least Common Multiple of 31,75,338 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 31,75,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,75,338) = 1

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

GCF(31,75,338) x common factors =1 x 1 = 1

LCM(31,75,338) = ( 31 × 75 × 338 ) / 1

LCM(31,75,338) = 785850 / 1

LCM(31,75,338) = 785850


Lets's calculate GCF of 313,850,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 785850/1

Therefore the LCM of Fractions 31/313,75/850,338/374 is 785850

Greatest Common Factor of 313,850,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,850,374 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 313,850,374 . The biggest common factor number is the GCF number.
So the greatest common factor 313,850,374 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 31/313, 75/850, 338/374

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 31/313, 75/850, 338/374?

Answer: LCM of Numerators as per given numbers 31/313, 75/850, 338/374 is

LCM of Numerators i.e. for 31,75,338 is 785850

GCF of denominators i.e. for 313,850,374 is 1.

Thus, LCM of Fractions is 785850.Finally, LCM of Fractions for 31/313, 75/850, 338/374 is 785850.