Least Common Multiple of 31/18, 816/14, 935/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/18, 816/14, 935/370 quickly i.e. 695640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/18, 816/14, 935/370 is 695640.

LCM(31/18, 816/14, 935/370) = 695640

LCM of 31/18, 816/14, 935/370

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 31/18,816/14,935/370

Given numbers are 31/18,816/14,935/370

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 31,816,935

Least Common Multiple of Numerators i.e. LCM of 31,816,935 is 1391280.

GCF of Denominators means GCF of 18,14,370 as per the given fractions.

GCF of 18,14,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,816,935

LCM of Fractions 31/18,816/14,935/370 is 695640

17 31, 816, 935
31, 48, 55

∴ So the LCM of the given numbers is 17 x 31 x 48 x 55 = 1391280

Least Common Multiple of 31,816,935 with GCF Formula

Least Common Multiple of 31,816,935 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 31,816,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,816,935) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(31,816,935) x common factors =1 x 17 = 17

LCM(31,816,935) = ( 31 × 816 × 935 ) / 17

LCM(31,816,935) = 23651760 / 17

LCM(31,816,935) = 1391280


Lets's calculate GCF of 18,14,370

2 18, 14, 370
9, 7, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1391280/2

Therefore the LCM of Fractions 31/18,816/14,935/370 is 695640

Greatest Common Factor of 18,14,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,14,370 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 18,14,370 . The biggest common factor number is the GCF number.
So the greatest common factor 18,14,370 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 31/18, 816/14, 935/370

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 31/18, 816/14, 935/370?

Answer: LCM of Numerators as per given numbers 31/18, 816/14, 935/370 is

LCM of Numerators i.e. for 31,816,935 is 1391280

GCF of denominators i.e. for 18,14,370 is 2.

Thus, LCM of Fractions is 695640.Finally, LCM of Fractions for 31/18, 816/14, 935/370 is 695640.