Least Common Multiple of 171/38, 475/57, 745/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/38, 475/57, 745/84 quickly i.e. 636975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/38, 475/57, 745/84 is 636975.

LCM(171/38, 475/57, 745/84) = 636975

LCM of 171/38, 475/57, 745/84

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 171/38,475/57,745/84

Given numbers are 171/38,475/57,745/84

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 171,475,745

Least Common Multiple of Numerators i.e. LCM of 171,475,745 is 636975.

GCF of Denominators means GCF of 38,57,84 as per the given fractions.

GCF of 38,57,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,475,745

LCM of Fractions 171/38,475/57,745/84 is 636975

5 171, 475, 745
19 171, 95, 149
9, 5, 149

∴ So the LCM of the given numbers is 5 x 19 x 9 x 5 x 149 = 636975

Least Common Multiple of 171,475,745 with GCF Formula

Least Common Multiple of 171,475,745 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 171,475,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,475,745) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(171,475,745) x common factors =1 x 95 = 95

LCM(171,475,745) = ( 171 × 475 × 745 ) / 95

LCM(171,475,745) = 60512625 / 95

LCM(171,475,745) = 636975


Lets's calculate GCF of 38,57,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 636975/1

Therefore the LCM of Fractions 171/38,475/57,745/84 is 636975

Greatest Common Factor of 38,57,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,57,84 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

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

Greatest Common Factor

We found the factors 38,57,84 . The biggest common factor number is the GCF number.
So the greatest common factor 38,57,84 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 171/38, 475/57, 745/84

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 171/38, 475/57, 745/84?

Answer: LCM of Numerators as per given numbers 171/38, 475/57, 745/84 is

LCM of Numerators i.e. for 171,475,745 is 636975

GCF of denominators i.e. for 38,57,84 is 1.

Thus, LCM of Fractions is 636975.Finally, LCM of Fractions for 171/38, 475/57, 745/84 is 636975.