Least Common Multiple of 288/42, 844/29, 557/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/42, 844/29, 557/170 quickly i.e. 33847776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/42, 844/29, 557/170 is 33847776.

LCM(288/42, 844/29, 557/170) = 33847776

LCM of 288/42, 844/29, 557/170

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 288/42,844/29,557/170

Given numbers are 288/42,844/29,557/170

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 288,844,557

Least Common Multiple of Numerators i.e. LCM of 288,844,557 is 33847776.

GCF of Denominators means GCF of 42,29,170 as per the given fractions.

GCF of 42,29,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,844,557

LCM of Fractions 288/42,844/29,557/170 is 33847776

2 288, 844, 557
2 144, 422, 557
72, 211, 557

∴ So the LCM of the given numbers is 2 x 2 x 72 x 211 x 557 = 33847776

Least Common Multiple of 288,844,557 with GCF Formula

Least Common Multiple of 288,844,557 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 288,844,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,844,557) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(288,844,557) x common factors =1 x 4 = 4

LCM(288,844,557) = ( 288 × 844 × 557 ) / 4

LCM(288,844,557) = 135391104 / 4

LCM(288,844,557) = 33847776


Lets's calculate GCF of 42,29,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33847776/1

Therefore the LCM of Fractions 288/42,844/29,557/170 is 33847776

Greatest Common Factor of 42,29,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,29,170 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

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 42,29,170 . The biggest common factor number is the GCF number.
So the greatest common factor 42,29,170 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 288/42, 844/29, 557/170

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 288/42, 844/29, 557/170?

Answer: LCM of Numerators as per given numbers 288/42, 844/29, 557/170 is

LCM of Numerators i.e. for 288,844,557 is 33847776

GCF of denominators i.e. for 42,29,170 is 1.

Thus, LCM of Fractions is 33847776.Finally, LCM of Fractions for 288/42, 844/29, 557/170 is 33847776.