Least Common Multiple of 31/16, 35/10, 442/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/16, 35/10, 442/350 quickly i.e. 239785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/16, 35/10, 442/350 is 239785.

LCM(31/16, 35/10, 442/350) = 239785

LCM of 31/16, 35/10, 442/350

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 31/16,35/10,442/350

Given numbers are 31/16,35/10,442/350

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 31,35,442

Least Common Multiple of Numerators i.e. LCM of 31,35,442 is 479570.

GCF of Denominators means GCF of 16,10,350 as per the given fractions.

GCF of 16,10,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,35,442

LCM of Fractions 31/16,35/10,442/350 is 239785

Given numbers has no common factors except 1. So, there LCM is their product i.e 479570

Least Common Multiple of 31,35,442 with GCF Formula

Least Common Multiple of 31,35,442 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 31,35,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,35,442) = 1

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

GCF(31,35,442) x common factors =1 x 1 = 1

LCM(31,35,442) = ( 31 × 35 × 442 ) / 1

LCM(31,35,442) = 479570 / 1

LCM(31,35,442) = 479570


Lets's calculate GCF of 16,10,350

2 16, 10, 350
8, 5, 175

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479570/2

Therefore the LCM of Fractions 31/16,35/10,442/350 is 239785

Greatest Common Factor of 16,10,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,10,350 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 16,10,350 . The biggest common factor number is the GCF number.
So the greatest common factor 16,10,350 is 2.


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 31/16, 35/10, 442/350

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 31/16, 35/10, 442/350?

Answer: LCM of Numerators as per given numbers 31/16, 35/10, 442/350 is

LCM of Numerators i.e. for 31,35,442 is 479570

GCF of denominators i.e. for 16,10,350 is 2.

Thus, LCM of Fractions is 239785.Finally, LCM of Fractions for 31/16, 35/10, 442/350 is 239785.