Least Common Multiple of 68/31, 30/94, 423/62

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/31, 30/94, 423/62 quickly i.e. 143820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/31, 30/94, 423/62 is 143820.

LCM(68/31, 30/94, 423/62) = 143820

LCM of 68/31, 30/94, 423/62

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 68/31,30/94,423/62

Given numbers are 68/31,30/94,423/62

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 68,30,423

Least Common Multiple of Numerators i.e. LCM of 68,30,423 is 143820.

GCF of Denominators means GCF of 31,94,62 as per the given fractions.

GCF of 31,94,62 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,30,423

LCM of Fractions 68/31,30/94,423/62 is 143820

2 68, 30, 423
3 34, 15, 423
34, 5, 141

∴ So the LCM of the given numbers is 2 x 3 x 34 x 5 x 141 = 143820

Least Common Multiple of 68,30,423 with GCF Formula

Least Common Multiple of 68,30,423 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 68,30,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,30,423) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(68,30,423) x common factors =1 x 6 = 6

LCM(68,30,423) = ( 68 × 30 × 423 ) / 6

LCM(68,30,423) = 862920 / 6

LCM(68,30,423) = 143820


Lets's calculate GCF of 31,94,62

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143820/1

Therefore the LCM of Fractions 68/31,30/94,423/62 is 143820

Greatest Common Factor of 31,94,62 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,94,62 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Greatest Common Factor

We found the factors 31,94,62 . The biggest common factor number is the GCF number.
So the greatest common factor 31,94,62 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 68/31, 30/94, 423/62

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 68/31, 30/94, 423/62?

Answer: LCM of Numerators as per given numbers 68/31, 30/94, 423/62 is

LCM of Numerators i.e. for 68,30,423 is 143820

GCF of denominators i.e. for 31,94,62 is 1.

Thus, LCM of Fractions is 143820.Finally, LCM of Fractions for 68/31, 30/94, 423/62 is 143820.