Least Common Multiple of 17/56, 29/88, 57/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/56, 29/88, 57/602 quickly i.e. 28101/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/56, 29/88, 57/602 is 28101/2.

LCM(17/56, 29/88, 57/602) = 28101/2

LCM of 17/56, 29/88, 57/602

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 17/56,29/88,57/602

Given numbers are 17/56,29/88,57/602

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 17,29,57

Least Common Multiple of Numerators i.e. LCM of 17,29,57 is 28101.

GCF of Denominators means GCF of 56,88,602 as per the given fractions.

GCF of 56,88,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,29,57

LCM of Fractions 17/56,29/88,57/602 is 28101/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 28101

Least Common Multiple of 17,29,57 with GCF Formula

Least Common Multiple of 17,29,57 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 17,29,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,29,57) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,29,57) x common factors =1 x 1 = 1

LCM(17,29,57) = ( 17 × 29 × 57 ) / 1

LCM(17,29,57) = 28101 / 1

LCM(17,29,57) = 28101


Lets's calculate GCF of 56,88,602

2 56, 88, 602
28, 44, 301

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28101/2

Therefore the LCM of Fractions 17/56,29/88,57/602 is 28101/2

Greatest Common Factor of 56,88,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,88,602 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 56,88,602 . The biggest common factor number is the GCF number.
So the greatest common factor 56,88,602 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/56, 29/88, 57/602

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 17/56, 29/88, 57/602?

Answer: LCM of Numerators as per given numbers 17/56, 29/88, 57/602 is

LCM of Numerators i.e. for 17,29,57 is 28101

GCF of denominators i.e. for 56,88,602 is 2.

Thus, LCM of Fractions is 28101/2.Finally, LCM of Fractions for 17/56, 29/88, 57/602 is 28101/2.