Least Common Multiple of 8/48, 1/30, 9/68, 37/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/48, 1/30, 9/68, 37/170 quickly i.e. 1332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/48, 1/30, 9/68, 37/170 is 1332.

LCM(8/48, 1/30, 9/68, 37/170) = 1332

LCM of 8/48, 1/30, 9/68, 37/170

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 8/48,1/30,9/68,37/170

Given numbers are 8/48,1/30,9/68,37/170

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 8,1,9,37

Least Common Multiple of Numerators i.e. LCM of 8,1,9,37 is 2664.

GCF of Denominators means GCF of 48,30,68,170 as per the given fractions.

GCF of 48,30,68,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,1,9,37

LCM of Fractions 8/48,1/30,9/68,37/170 is 1332

Given numbers has no common factors except 1. So, there LCM is their product i.e 2664

Least Common Multiple of 8,1,9,37 with GCF Formula

Least Common Multiple of 8,1,9,37 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 8,1,9,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,1,9,37) = 1

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

GCF(8,1,9,37) x common factors =1 x 1 = 1

LCM(8,1,9,37) = ( 8 × 1 × 9 × 37 ) / 1

LCM(8,1,9,37) = 2664 / 1

LCM(8,1,9,37) = 2664


Lets's calculate GCF of 48,30,68,170

2 48, 30, 68, 170
24, 15, 34, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2664/2

Therefore the LCM of Fractions 8/48,1/30,9/68,37/170 is 1332

Greatest Common Factor of 48,30,68,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,30,68,170 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 48,30,68,170 . The biggest common factor number is the GCF number.
So the greatest common factor 48,30,68,170 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 8/48, 1/30, 9/68, 37/170

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 8/48, 1/30, 9/68, 37/170?

Answer: LCM of Numerators as per given numbers 8/48, 1/30, 9/68, 37/170 is

LCM of Numerators i.e. for 8,1,9,37 is 2664

GCF of denominators i.e. for 48,30,68,170 is 2.

Thus, LCM of Fractions is 1332.Finally, LCM of Fractions for 8/48, 1/30, 9/68, 37/170 is 1332.