Least Common Multiple of 31/42, 23/10, 170/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/42, 23/10, 170/642 quickly i.e. 60605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/42, 23/10, 170/642 is 60605.

LCM(31/42, 23/10, 170/642) = 60605

LCM of 31/42, 23/10, 170/642

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 31/42,23/10,170/642

Given numbers are 31/42,23/10,170/642

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 31,23,170

Least Common Multiple of Numerators i.e. LCM of 31,23,170 is 121210.

GCF of Denominators means GCF of 42,10,642 as per the given fractions.

GCF of 42,10,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,23,170

LCM of Fractions 31/42,23/10,170/642 is 60605

Given numbers has no common factors except 1. So, there LCM is their product i.e 121210

Least Common Multiple of 31,23,170 with GCF Formula

Least Common Multiple of 31,23,170 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 31,23,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,23,170) = 1

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

GCF(31,23,170) x common factors =1 x 1 = 1

LCM(31,23,170) = ( 31 × 23 × 170 ) / 1

LCM(31,23,170) = 121210 / 1

LCM(31,23,170) = 121210


Lets's calculate GCF of 42,10,642

2 42, 10, 642
21, 5, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121210/2

Therefore the LCM of Fractions 31/42,23/10,170/642 is 60605

Greatest Common Factor of 42,10,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,10,642 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 10

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

1,2,5,10

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 42,10,642 . The biggest common factor number is the GCF number.
So the greatest common factor 42,10,642 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 31/42, 23/10, 170/642

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 31/42, 23/10, 170/642?

Answer: LCM of Numerators as per given numbers 31/42, 23/10, 170/642 is

LCM of Numerators i.e. for 31,23,170 is 121210

GCF of denominators i.e. for 42,10,642 is 2.

Thus, LCM of Fractions is 60605.Finally, LCM of Fractions for 31/42, 23/10, 170/642 is 60605.