Least Common Multiple of 8/88, 2/49, 53/80, 61/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8/88, 2/49, 53/80, 61/201 quickly i.e. 25864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/88, 2/49, 53/80, 61/201 is 25864.

LCM(8/88, 2/49, 53/80, 61/201) = 25864

LCM of 8/88, 2/49, 53/80, 61/201

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 8/88,2/49,53/80,61/201

Given numbers are 8/88,2/49,53/80,61/201

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 8,2,53,61

Least Common Multiple of Numerators i.e. LCM of 8,2,53,61 is 25864.

GCF of Denominators means GCF of 88,49,80,201 as per the given fractions.

GCF of 88,49,80,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,2,53,61

LCM of Fractions 8/88,2/49,53/80,61/201 is 25864

2 8, 2, 53, 61
4, 1, 53, 61

∴ So the LCM of the given numbers is 2 x 4 x 1 x 53 x 61 = 25864

Least Common Multiple of 8,2,53,61 with GCF Formula

Least Common Multiple of 8,2,53,61 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 8,2,53,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,2,53,61) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(8,2,53,61) x common factors =1 x 2 = 2

LCM(8,2,53,61) = ( 8 × 2 × 53 × 61 ) / 2

LCM(8,2,53,61) = 51728 / 2

LCM(8,2,53,61) = 25864


Lets's calculate GCF of 88,49,80,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25864/1

Therefore the LCM of Fractions 8/88,2/49,53/80,61/201 is 25864

Greatest Common Factor of 88,49,80,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,49,80,201 By Matching Biggest Common Factor Method

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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 88,49,80,201 . The biggest common factor number is the GCF number.
So the greatest common factor 88,49,80,201 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8/88, 2/49, 53/80, 61/201

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 8/88, 2/49, 53/80, 61/201?

Answer: LCM of Numerators as per given numbers 8/88, 2/49, 53/80, 61/201 is

LCM of Numerators i.e. for 8,2,53,61 is 25864

GCF of denominators i.e. for 88,49,80,201 is 1.

Thus, LCM of Fractions is 25864.Finally, LCM of Fractions for 8/88, 2/49, 53/80, 61/201 is 25864.