Least Common Multiple of 14/32, 74/456, 486/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/32, 74/456, 486/248 quickly i.e. 125874/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/32, 74/456, 486/248 is 125874/8.

LCM(14/32, 74/456, 486/248) = 125874/8

LCM of 14/32, 74/456, 486/248

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 14/32,74/456,486/248

Given numbers are 14/32,74/456,486/248

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 14,74,486

Least Common Multiple of Numerators i.e. LCM of 14,74,486 is 125874.

GCF of Denominators means GCF of 32,456,248 as per the given fractions.

GCF of 32,456,248 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,74,486

LCM of Fractions 14/32,74/456,486/248 is 125874/8

2 14, 74, 486
7, 37, 243

∴ So the LCM of the given numbers is 2 x 7 x 37 x 243 = 125874

Least Common Multiple of 14,74,486 with GCF Formula

Least Common Multiple of 14,74,486 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 14,74,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,74,486) = 2

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

GCF(14,74,486) x common factors =2 x 2 = 4

LCM(14,74,486) = ( 14 × 74 × 486 ) / 4

LCM(14,74,486) = 503496 / 4

LCM(14,74,486) = 125874


Lets's calculate GCF of 32,456,248

2 32, 456, 248
2 16, 228, 124
2 8, 114, 62
4, 57, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125874/8

Therefore the LCM of Fractions 14/32,74/456,486/248 is 125874/8

Greatest Common Factor of 32,456,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,456,248 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 32,456,248 . The biggest common factor number is the GCF number.
So the greatest common factor 32,456,248 is 8.


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 14/32, 74/456, 486/248

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 14/32, 74/456, 486/248?

Answer: LCM of Numerators as per given numbers 14/32, 74/456, 486/248 is

LCM of Numerators i.e. for 14,74,486 is 125874

GCF of denominators i.e. for 32,456,248 is 8.

Thus, LCM of Fractions is 125874/8.Finally, LCM of Fractions for 14/32, 74/456, 486/248 is 125874/8.