Least Common Multiple of 74/16, 56/33, 984/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/16, 56/33, 984/425 quickly i.e. 254856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/16, 56/33, 984/425 is 254856.

LCM(74/16, 56/33, 984/425) = 254856

LCM of 74/16, 56/33, 984/425

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 74/16,56/33,984/425

Given numbers are 74/16,56/33,984/425

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 74,56,984

Least Common Multiple of Numerators i.e. LCM of 74,56,984 is 254856.

GCF of Denominators means GCF of 16,33,425 as per the given fractions.

GCF of 16,33,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,56,984

LCM of Fractions 74/16,56/33,984/425 is 254856

2 74, 56, 984
2 37, 28, 492
2 37, 14, 246
37, 7, 123

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 7 x 123 = 254856

Least Common Multiple of 74,56,984 with GCF Formula

Least Common Multiple of 74,56,984 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 74,56,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,56,984) = 2

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

GCF(74,56,984) x common factors =2 x 8 = 16

LCM(74,56,984) = ( 74 × 56 × 984 ) / 16

LCM(74,56,984) = 4077696 / 16

LCM(74,56,984) = 254856


Lets's calculate GCF of 16,33,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254856/1

Therefore the LCM of Fractions 74/16,56/33,984/425 is 254856

Greatest Common Factor of 16,33,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,33,425 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 16,33,425 . The biggest common factor number is the GCF number.
So the greatest common factor 16,33,425 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 74/16, 56/33, 984/425

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 74/16, 56/33, 984/425?

Answer: LCM of Numerators as per given numbers 74/16, 56/33, 984/425 is

LCM of Numerators i.e. for 74,56,984 is 254856

GCF of denominators i.e. for 16,33,425 is 1.

Thus, LCM of Fractions is 254856.Finally, LCM of Fractions for 74/16, 56/33, 984/425 is 254856.