Least Common Multiple of 37/484, 15/152, 170/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/484, 15/152, 170/473 quickly i.e. 18870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/484, 15/152, 170/473 is 18870.

LCM(37/484, 15/152, 170/473) = 18870

LCM of 37/484, 15/152, 170/473

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 37/484,15/152,170/473

Given numbers are 37/484,15/152,170/473

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 37,15,170

Least Common Multiple of Numerators i.e. LCM of 37,15,170 is 18870.

GCF of Denominators means GCF of 484,152,473 as per the given fractions.

GCF of 484,152,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,15,170

LCM of Fractions 37/484,15/152,170/473 is 18870

5 37, 15, 170
37, 3, 34

∴ So the LCM of the given numbers is 5 x 37 x 3 x 34 = 18870

Least Common Multiple of 37,15,170 with GCF Formula

Least Common Multiple of 37,15,170 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 37,15,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,15,170) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(37,15,170) x common factors =1 x 5 = 5

LCM(37,15,170) = ( 37 × 15 × 170 ) / 5

LCM(37,15,170) = 94350 / 5

LCM(37,15,170) = 18870


Lets's calculate GCF of 484,152,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18870/1

Therefore the LCM of Fractions 37/484,15/152,170/473 is 18870

Greatest Common Factor of 484,152,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,152,473 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 484,152,473 . The biggest common factor number is the GCF number.
So the greatest common factor 484,152,473 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 37/484, 15/152, 170/473

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 37/484, 15/152, 170/473?

Answer: LCM of Numerators as per given numbers 37/484, 15/152, 170/473 is

LCM of Numerators i.e. for 37,15,170 is 18870

GCF of denominators i.e. for 484,152,473 is 1.

Thus, LCM of Fractions is 18870.Finally, LCM of Fractions for 37/484, 15/152, 170/473 is 18870.