Least Common Multiple of 19/74, 61/28, 88/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/74, 61/28, 88/414 quickly i.e. 50996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/74, 61/28, 88/414 is 50996.

LCM(19/74, 61/28, 88/414) = 50996

LCM of 19/74, 61/28, 88/414

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 19/74,61/28,88/414

Given numbers are 19/74,61/28,88/414

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 19,61,88

Least Common Multiple of Numerators i.e. LCM of 19,61,88 is 101992.

GCF of Denominators means GCF of 74,28,414 as per the given fractions.

GCF of 74,28,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,61,88

LCM of Fractions 19/74,61/28,88/414 is 50996

Given numbers has no common factors except 1. So, there LCM is their product i.e 101992

Least Common Multiple of 19,61,88 with GCF Formula

Least Common Multiple of 19,61,88 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 19,61,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,61,88) = 1

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

GCF(19,61,88) x common factors =1 x 1 = 1

LCM(19,61,88) = ( 19 × 61 × 88 ) / 1

LCM(19,61,88) = 101992 / 1

LCM(19,61,88) = 101992


Lets's calculate GCF of 74,28,414

2 74, 28, 414
37, 14, 207

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101992/2

Therefore the LCM of Fractions 19/74,61/28,88/414 is 50996

Greatest Common Factor of 74,28,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,28,414 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 74,28,414 . The biggest common factor number is the GCF number.
So the greatest common factor 74,28,414 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 19/74, 61/28, 88/414

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 19/74, 61/28, 88/414?

Answer: LCM of Numerators as per given numbers 19/74, 61/28, 88/414 is

LCM of Numerators i.e. for 19,61,88 is 101992

GCF of denominators i.e. for 74,28,414 is 2.

Thus, LCM of Fractions is 50996.Finally, LCM of Fractions for 19/74, 61/28, 88/414 is 50996.