Least Common Multiple of 8/99, 8/95, 7/71, 51/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8/99, 8/95, 7/71, 51/313 quickly i.e. 2856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/99, 8/95, 7/71, 51/313 is 2856.

LCM(8/99, 8/95, 7/71, 51/313) = 2856

LCM of 8/99, 8/95, 7/71, 51/313

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 8/99,8/95,7/71,51/313

Given numbers are 8/99,8/95,7/71,51/313

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 8,8,7,51

Least Common Multiple of Numerators i.e. LCM of 8,8,7,51 is 2856.

GCF of Denominators means GCF of 99,95,71,313 as per the given fractions.

GCF of 99,95,71,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,8,7,51

LCM of Fractions 8/99,8/95,7/71,51/313 is 2856

2 8, 8, 7, 51
2 4, 4, 7, 51
2 2, 2, 7, 51
1, 1, 7, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 7 x 51 = 2856

Least Common Multiple of 8,8,7,51 with GCF Formula

Least Common Multiple of 8,8,7,51 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 8,8,7,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,8,7,51) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(8,8,7,51) x common factors =1 x 8 = 8

LCM(8,8,7,51) = ( 8 × 8 × 7 × 51 ) / 8

LCM(8,8,7,51) = 22848 / 8

LCM(8,8,7,51) = 2856


Lets's calculate GCF of 99,95,71,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856/1

Therefore the LCM of Fractions 8/99,8/95,7/71,51/313 is 2856

Greatest Common Factor of 99,95,71,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,95,71,313 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 99,95,71,313 . The biggest common factor number is the GCF number.
So the greatest common factor 99,95,71,313 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8/99, 8/95, 7/71, 51/313

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 8/99, 8/95, 7/71, 51/313?

Answer: LCM of Numerators as per given numbers 8/99, 8/95, 7/71, 51/313 is

LCM of Numerators i.e. for 8,8,7,51 is 2856

GCF of denominators i.e. for 99,95,71,313 is 1.

Thus, LCM of Fractions is 2856.Finally, LCM of Fractions for 8/99, 8/95, 7/71, 51/313 is 2856.