Least Common Multiple of 84/170, 57/337, 342/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/170, 57/337, 342/528 quickly i.e. 4788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/170, 57/337, 342/528 is 4788.

LCM(84/170, 57/337, 342/528) = 4788

LCM of 84/170, 57/337, 342/528

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 84/170,57/337,342/528

Given numbers are 84/170,57/337,342/528

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 84,57,342

Least Common Multiple of Numerators i.e. LCM of 84,57,342 is 4788.

GCF of Denominators means GCF of 170,337,528 as per the given fractions.

GCF of 170,337,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,57,342

LCM of Fractions 84/170,57/337,342/528 is 4788

2 84, 57, 342
3 42, 57, 171
19 14, 19, 57
14, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 19 x 14 x 1 x 3 = 4788

Least Common Multiple of 84,57,342 with GCF Formula

Least Common Multiple of 84,57,342 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 84,57,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,57,342) = 3

common factors(in case of two or more numbers have common factors) = 114

GCF(84,57,342) x common factors =3 x 114 = 342

LCM(84,57,342) = ( 84 × 57 × 342 ) / 342

LCM(84,57,342) = 1637496 / 342

LCM(84,57,342) = 4788


Lets's calculate GCF of 170,337,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4788/1

Therefore the LCM of Fractions 84/170,57/337,342/528 is 4788

Greatest Common Factor of 170,337,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,337,528 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 170,337,528 . The biggest common factor number is the GCF number.
So the greatest common factor 170,337,528 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 84/170, 57/337, 342/528

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 84/170, 57/337, 342/528?

Answer: LCM of Numerators as per given numbers 84/170, 57/337, 342/528 is

LCM of Numerators i.e. for 84,57,342 is 4788

GCF of denominators i.e. for 170,337,528 is 1.

Thus, LCM of Fractions is 4788.Finally, LCM of Fractions for 84/170, 57/337, 342/528 is 4788.