Least Common Multiple of 37/67, 23/48, 51/62, 94/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/67, 23/48, 51/62, 94/171 quickly i.e. 4079694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/67, 23/48, 51/62, 94/171 is 4079694.

LCM(37/67, 23/48, 51/62, 94/171) = 4079694

LCM of 37/67, 23/48, 51/62, 94/171

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 37/67,23/48,51/62,94/171

Given numbers are 37/67,23/48,51/62,94/171

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 37,23,51,94

Least Common Multiple of Numerators i.e. LCM of 37,23,51,94 is 4079694.

GCF of Denominators means GCF of 67,48,62,171 as per the given fractions.

GCF of 67,48,62,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,23,51,94

LCM of Fractions 37/67,23/48,51/62,94/171 is 4079694

Given numbers has no common factors except 1. So, there LCM is their product i.e 4079694

Least Common Multiple of 37,23,51,94 with GCF Formula

Least Common Multiple of 37,23,51,94 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 37,23,51,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,23,51,94) = 1

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

GCF(37,23,51,94) x common factors =1 x 1 = 1

LCM(37,23,51,94) = ( 37 × 23 × 51 × 94 ) / 1

LCM(37,23,51,94) = 4079694 / 1

LCM(37,23,51,94) = 4079694


Lets's calculate GCF of 67,48,62,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4079694/1

Therefore the LCM of Fractions 37/67,23/48,51/62,94/171 is 4079694

Greatest Common Factor of 67,48,62,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,48,62,171 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

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 62

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

1,2,31,62

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 67,48,62,171 . The biggest common factor number is the GCF number.
So the greatest common factor 67,48,62,171 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 37/67, 23/48, 51/62, 94/171

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 37/67, 23/48, 51/62, 94/171?

Answer: LCM of Numerators as per given numbers 37/67, 23/48, 51/62, 94/171 is

LCM of Numerators i.e. for 37,23,51,94 is 4079694

GCF of denominators i.e. for 67,48,62,171 is 1.

Thus, LCM of Fractions is 4079694.Finally, LCM of Fractions for 37/67, 23/48, 51/62, 94/171 is 4079694.