Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Least Common Multiple of 19/88, 16/75, 68/87

Know Least Common Multiple of fractions 19/88, 16/75, 68/87 quickly i.e. 5168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/88, 16/75, 68/87 is 5168.

LCM(19/88, 16/75, 68/87) = 5168

LCM of 19/88, 16/75, 68/87

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 19/88,16/75,68/87

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 19,16,68

Least Common Multiple of Numerators i.e. LCM of 19,16,68 is 5168.

GCF of Denominators means GCF of 88,75,87 as per the given fractions.

GCF of 88,75,87 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,16,68

Least Common Multiple (LCM) of 19,16,68 By Common Division

2 19, 16, 68
2 19, 8, 34
19, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 19 x 4 x 17 = 5168

Least Common Multiple of 19,16,68 with GCF Formula

Least Common Multiple of 19,16,68 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 19,16,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,16,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(19,16,68) x common factors =1 x 4 = 4

LCM(19,16,68) = ( 19 × 16 × 68 ) / 4

LCM(19,16,68) = 20672 / 4

LCM(19,16,68) = 5168


Lets's calculate GCF of 88,75,87

Greatest Common Factor (GCF) of 88,75,87 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5168/1

Therefore the LCM of Fractions 19/88,16/75,68/87 is 5168

Greatest Common Factor of 88,75,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,75,87 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Greatest Common Factor

We found the factors 88,75,87 . The biggest common factor number is the GCF number.
So the greatest common factor 88,75,87 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/88, 16/75, 68/87

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 19/88, 16/75, 68/87?

Answer: LCM of Numerators as per given numbers 19/88, 16/75, 68/87 is

LCM of Numerators i.e. for 19,16,68 is 5168

GCF of denominators i.e. for 88,75,87 is 1.

Thus, LCM of Fractions is 5168.Finally, LCM of Fractions for 19/88, 16/75, 68/87 is 5168.