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Least Common Multiple of 6/42, 15/75, 24/84, 32/90

Know Least Common Multiple of fractions 6/42, 15/75, 24/84, 32/90 quickly i.e. 160 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, 15/75, 24/84, 32/90 is 160.

LCM(6/42, 15/75, 24/84, 32/90) = 160

LCM of 6/42, 15/75, 24/84, 32/90

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 6/42,15/75,24/84,32/90

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 6,15,24,32

Least Common Multiple of Numerators i.e. LCM of 6,15,24,32 is 480.

GCF of Denominators means GCF of 42,75,84,90 as per the given fractions.

GCF of 42,75,84,90 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,15,24,32

Least Common Multiple (LCM) of 6,15,24,32 By Common Division

2 6, 15, 24, 32
2 3, 15, 12, 16
2 3, 15, 6, 8
3 3, 15, 3, 4
1, 5, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 5 x 1 x 4 = 480

Least Common Multiple of 6,15,24,32 with GCF Formula

Least Common Multiple of 6,15,24,32 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 6,15,24,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,15,24,32) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(6,15,24,32) x common factors =1 x 144 = 144

LCM(6,15,24,32) = ( 6 × 15 × 24 × 32 ) / 144

LCM(6,15,24,32) = 69120 / 144

LCM(6,15,24,32) = 480


Lets's calculate GCF of 42,75,84,90

Greatest Common Factor (GCF) of 42,75,84,90 By Common Division

3 42, 75, 84, 90
14, 25, 28, 30

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480/3

Therefore the LCM of Fractions 6/42,15/75,24/84,32/90 is 160

Greatest Common Factor of 42,75,84,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,75,84,90 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Greatest Common Factor

We found the factors 42,75,84,90 . The biggest common factor number is the GCF number.
So the greatest common factor 42,75,84,90 is 3.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6/42, 15/75, 24/84, 32/90

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, 15/75, 24/84, 32/90?

Answer: LCM of Numerators as per given numbers 6/42, 15/75, 24/84, 32/90 is

LCM of Numerators i.e. for 6,15,24,32 is 480

GCF of denominators i.e. for 42,75,84,90 is 3.

Thus, LCM of Fractions is 160.Finally, LCM of Fractions for 6/42, 15/75, 24/84, 32/90 is 160.