Least Common Multiple of 88/66, 29/65, 57/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/66, 29/65, 57/689 quickly i.e. 145464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/66, 29/65, 57/689 is 145464.

LCM(88/66, 29/65, 57/689) = 145464

LCM of 88/66, 29/65, 57/689

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 88/66,29/65,57/689

Given numbers are 88/66,29/65,57/689

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 88,29,57

Least Common Multiple of Numerators i.e. LCM of 88,29,57 is 145464.

GCF of Denominators means GCF of 66,65,689 as per the given fractions.

GCF of 66,65,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,29,57

LCM of Fractions 88/66,29/65,57/689 is 145464

Given numbers has no common factors except 1. So, there LCM is their product i.e 145464

Least Common Multiple of 88,29,57 with GCF Formula

Least Common Multiple of 88,29,57 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 88,29,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,29,57) = 1

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

GCF(88,29,57) x common factors =1 x 1 = 1

LCM(88,29,57) = ( 88 × 29 × 57 ) / 1

LCM(88,29,57) = 145464 / 1

LCM(88,29,57) = 145464


Lets's calculate GCF of 66,65,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145464/1

Therefore the LCM of Fractions 88/66,29/65,57/689 is 145464

Greatest Common Factor of 66,65,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,65,689 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 66,65,689 . The biggest common factor number is the GCF number.
So the greatest common factor 66,65,689 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/66, 29/65, 57/689

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 88/66, 29/65, 57/689?

Answer: LCM of Numerators as per given numbers 88/66, 29/65, 57/689 is

LCM of Numerators i.e. for 88,29,57 is 145464

GCF of denominators i.e. for 66,65,689 is 1.

Thus, LCM of Fractions is 145464.Finally, LCM of Fractions for 88/66, 29/65, 57/689 is 145464.