Least Common Multiple of 3/85, 31/990, 88/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3/85, 31/990, 88/525 quickly i.e. 8184/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/85, 31/990, 88/525 is 8184/5.

LCM(3/85, 31/990, 88/525) = 8184/5

LCM of 3/85, 31/990, 88/525

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 3/85,31/990,88/525

Given numbers are 3/85,31/990,88/525

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 3,31,88

Least Common Multiple of Numerators i.e. LCM of 3,31,88 is 8184.

GCF of Denominators means GCF of 85,990,525 as per the given fractions.

GCF of 85,990,525 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,31,88

LCM of Fractions 3/85,31/990,88/525 is 8184/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 8184

Least Common Multiple of 3,31,88 with GCF Formula

Least Common Multiple of 3,31,88 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 3,31,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,31,88) = 1

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

GCF(3,31,88) x common factors =1 x 1 = 1

LCM(3,31,88) = ( 3 × 31 × 88 ) / 1

LCM(3,31,88) = 8184 / 1

LCM(3,31,88) = 8184


Lets's calculate GCF of 85,990,525

5 85, 990, 525
17, 198, 105

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8184/5

Therefore the LCM of Fractions 3/85,31/990,88/525 is 8184/5

Greatest Common Factor of 85,990,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,990,525 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 85,990,525 . The biggest common factor number is the GCF number.
So the greatest common factor 85,990,525 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3/85, 31/990, 88/525

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 3/85, 31/990, 88/525?

Answer: LCM of Numerators as per given numbers 3/85, 31/990, 88/525 is

LCM of Numerators i.e. for 3,31,88 is 8184

GCF of denominators i.e. for 85,990,525 is 5.

Thus, LCM of Fractions is 8184/5.Finally, LCM of Fractions for 3/85, 31/990, 88/525 is 8184/5.