Least Common Multiple of 84/893, 178/359, 291/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/893, 178/359, 291/170 quickly i.e. 725172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/893, 178/359, 291/170 is 725172.

LCM(84/893, 178/359, 291/170) = 725172

LCM of 84/893, 178/359, 291/170

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 84/893,178/359,291/170

Given numbers are 84/893,178/359,291/170

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 84,178,291

Least Common Multiple of Numerators i.e. LCM of 84,178,291 is 725172.

GCF of Denominators means GCF of 893,359,170 as per the given fractions.

GCF of 893,359,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,178,291

LCM of Fractions 84/893,178/359,291/170 is 725172

2 84, 178, 291
3 42, 89, 291
14, 89, 97

∴ So the LCM of the given numbers is 2 x 3 x 14 x 89 x 97 = 725172

Least Common Multiple of 84,178,291 with GCF Formula

Least Common Multiple of 84,178,291 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 84,178,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,178,291) = 1

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

GCF(84,178,291) x common factors =1 x 6 = 6

LCM(84,178,291) = ( 84 × 178 × 291 ) / 6

LCM(84,178,291) = 4351032 / 6

LCM(84,178,291) = 725172


Lets's calculate GCF of 893,359,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 725172/1

Therefore the LCM of Fractions 84/893,178/359,291/170 is 725172

Greatest Common Factor of 893,359,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,359,170 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 170

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

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

Greatest Common Factor

We found the factors 893,359,170 . The biggest common factor number is the GCF number.
So the greatest common factor 893,359,170 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 84/893, 178/359, 291/170

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 84/893, 178/359, 291/170?

Answer: LCM of Numerators as per given numbers 84/893, 178/359, 291/170 is

LCM of Numerators i.e. for 84,178,291 is 725172

GCF of denominators i.e. for 893,359,170 is 1.

Thus, LCM of Fractions is 725172.Finally, LCM of Fractions for 84/893, 178/359, 291/170 is 725172.