Least Common Multiple of 373/48, 128/17, 370/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 373/48, 128/17, 370/86 quickly i.e. 8832640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 373/48, 128/17, 370/86 is 8832640.

LCM(373/48, 128/17, 370/86) = 8832640

LCM of 373/48, 128/17, 370/86

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 373/48,128/17,370/86

Given numbers are 373/48,128/17,370/86

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 373,128,370

Least Common Multiple of Numerators i.e. LCM of 373,128,370 is 8832640.

GCF of Denominators means GCF of 48,17,86 as per the given fractions.

GCF of 48,17,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 373,128,370

LCM of Fractions 373/48,128/17,370/86 is 8832640

2 373, 128, 370
373, 64, 185

∴ So the LCM of the given numbers is 2 x 373 x 64 x 185 = 8832640

Least Common Multiple of 373,128,370 with GCF Formula

Least Common Multiple of 373,128,370 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 373,128,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,128,370) = 1

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

GCF(373,128,370) x common factors =1 x 2 = 2

LCM(373,128,370) = ( 373 × 128 × 370 ) / 2

LCM(373,128,370) = 17665280 / 2

LCM(373,128,370) = 8832640


Lets's calculate GCF of 48,17,86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8832640/1

Therefore the LCM of Fractions 373/48,128/17,370/86 is 8832640

Greatest Common Factor of 48,17,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,17,86 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 48,17,86 . The biggest common factor number is the GCF number.
So the greatest common factor 48,17,86 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 373/48, 128/17, 370/86

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 373/48, 128/17, 370/86?

Answer: LCM of Numerators as per given numbers 373/48, 128/17, 370/86 is

LCM of Numerators i.e. for 373,128,370 is 8832640

GCF of denominators i.e. for 48,17,86 is 1.

Thus, LCM of Fractions is 8832640.Finally, LCM of Fractions for 373/48, 128/17, 370/86 is 8832640.