Least Common Multiple of 14/74, 32/469, 509/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/74, 32/469, 509/880 quickly i.e. 114016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/74, 32/469, 509/880 is 114016.

LCM(14/74, 32/469, 509/880) = 114016

LCM of 14/74, 32/469, 509/880

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 14/74,32/469,509/880

Given numbers are 14/74,32/469,509/880

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 14,32,509

Least Common Multiple of Numerators i.e. LCM of 14,32,509 is 114016.

GCF of Denominators means GCF of 74,469,880 as per the given fractions.

GCF of 74,469,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,32,509

LCM of Fractions 14/74,32/469,509/880 is 114016

2 14, 32, 509
7, 16, 509

∴ So the LCM of the given numbers is 2 x 7 x 16 x 509 = 114016

Least Common Multiple of 14,32,509 with GCF Formula

Least Common Multiple of 14,32,509 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 14,32,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,32,509) = 1

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

GCF(14,32,509) x common factors =1 x 2 = 2

LCM(14,32,509) = ( 14 × 32 × 509 ) / 2

LCM(14,32,509) = 228032 / 2

LCM(14,32,509) = 114016


Lets's calculate GCF of 74,469,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114016/1

Therefore the LCM of Fractions 14/74,32/469,509/880 is 114016

Greatest Common Factor of 74,469,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,469,880 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 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 74,469,880 . The biggest common factor number is the GCF number.
So the greatest common factor 74,469,880 is 1.


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 14/74, 32/469, 509/880

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 14/74, 32/469, 509/880?

Answer: LCM of Numerators as per given numbers 14/74, 32/469, 509/880 is

LCM of Numerators i.e. for 14,32,509 is 114016

GCF of denominators i.e. for 74,469,880 is 1.

Thus, LCM of Fractions is 114016.Finally, LCM of Fractions for 14/74, 32/469, 509/880 is 114016.