Least Common Multiple of 488/84, 870/87, 171/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/84, 870/87, 171/318 quickly i.e. 4033320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/84, 870/87, 171/318 is 4033320.

LCM(488/84, 870/87, 171/318) = 4033320

LCM of 488/84, 870/87, 171/318

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 488/84,870/87,171/318

Given numbers are 488/84,870/87,171/318

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 488,870,171

Least Common Multiple of Numerators i.e. LCM of 488,870,171 is 12099960.

GCF of Denominators means GCF of 84,87,318 as per the given fractions.

GCF of 84,87,318 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,870,171

LCM of Fractions 488/84,870/87,171/318 is 4033320

2 488, 870, 171
3 244, 435, 171
244, 145, 57

∴ So the LCM of the given numbers is 2 x 3 x 244 x 145 x 57 = 12099960

Least Common Multiple of 488,870,171 with GCF Formula

Least Common Multiple of 488,870,171 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 488,870,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,870,171) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(488,870,171) x common factors =1 x 6 = 6

LCM(488,870,171) = ( 488 × 870 × 171 ) / 6

LCM(488,870,171) = 72599760 / 6

LCM(488,870,171) = 12099960


Lets's calculate GCF of 84,87,318

3 84, 87, 318
28, 29, 106

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12099960/3

Therefore the LCM of Fractions 488/84,870/87,171/318 is 4033320

Greatest Common Factor of 84,87,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,87,318 By Matching Biggest Common Factor Method

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

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 84,87,318 . The biggest common factor number is the GCF number.
So the greatest common factor 84,87,318 is 3.


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 488/84, 870/87, 171/318

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 488/84, 870/87, 171/318?

Answer: LCM of Numerators as per given numbers 488/84, 870/87, 171/318 is

LCM of Numerators i.e. for 488,870,171 is 12099960

GCF of denominators i.e. for 84,87,318 is 3.

Thus, LCM of Fractions is 4033320.Finally, LCM of Fractions for 488/84, 870/87, 171/318 is 4033320.