Least Common Multiple of 6/42, 7/76, 37/96, 86/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/42, 7/76, 37/96, 86/234 quickly i.e. 33411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/42, 7/76, 37/96, 86/234 is 33411.

LCM(6/42, 7/76, 37/96, 86/234) = 33411

LCM of 6/42, 7/76, 37/96, 86/234

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 6/42,7/76,37/96,86/234

Given numbers are 6/42,7/76,37/96,86/234

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 6,7,37,86

Least Common Multiple of Numerators i.e. LCM of 6,7,37,86 is 66822.

GCF of Denominators means GCF of 42,76,96,234 as per the given fractions.

GCF of 42,76,96,234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,7,37,86

LCM of Fractions 6/42,7/76,37/96,86/234 is 33411

2 6, 7, 37, 86
3, 7, 37, 43

∴ So the LCM of the given numbers is 2 x 3 x 7 x 37 x 43 = 66822

Least Common Multiple of 6,7,37,86 with GCF Formula

Least Common Multiple of 6,7,37,86 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 6,7,37,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7,37,86) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,7,37,86) x common factors =1 x 2 = 2

LCM(6,7,37,86) = ( 6 × 7 × 37 × 86 ) / 2

LCM(6,7,37,86) = 133644 / 2

LCM(6,7,37,86) = 66822


Lets's calculate GCF of 42,76,96,234

2 42, 76, 96, 234
21, 38, 48, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66822/2

Therefore the LCM of Fractions 6/42,7/76,37/96,86/234 is 33411

Greatest Common Factor of 42,76,96,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,76,96,234 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 42,76,96,234 . The biggest common factor number is the GCF number.
So the greatest common factor 42,76,96,234 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 6/42, 7/76, 37/96, 86/234

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 6/42, 7/76, 37/96, 86/234?

Answer: LCM of Numerators as per given numbers 6/42, 7/76, 37/96, 86/234 is

LCM of Numerators i.e. for 6,7,37,86 is 66822

GCF of denominators i.e. for 42,76,96,234 is 2.

Thus, LCM of Fractions is 33411.Finally, LCM of Fractions for 6/42, 7/76, 37/96, 86/234 is 33411.