Least Common Multiple of 872/94, 320/4064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/94, 320/4064 quickly i.e. 17440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/94, 320/4064 is 17440.

LCM(872/94, 320/4064) = 17440

LCM of 872/94, 320/4064

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 872/94,320/4064

Given numbers are 872/94,320/4064

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 872,320

Least Common Multiple of Numerators i.e. LCM of 872,320 is 34880.

GCF of Denominators means GCF of 94,4064 as per the given fractions.

GCF of 94,4064 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,320

LCM of Fractions 872/94,320/4064 is 17440

2 872, 320
2 436, 160
2 218, 80
109, 40

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 40 = 34880

Least Common Multiple of 872,320 with GCF Formula

Least Common Multiple of 872,320 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 872,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,320) = 8

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

GCF(872,320) x common factors =8 x 1 = 8

LCM(872,320) = ( 872 × 320 ) / 8

LCM(872,320) = 279040 / 8

LCM(872,320) = 34880


Lets's calculate GCF of 94,4064

2 94, 4064
47, 2032

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34880/2

Therefore the LCM of Fractions 872/94,320/4064 is 17440

Greatest Common Factor of 94,4064 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,4064 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1,2,4,8,16,32,127,254,508,1016,2032,4064

Greatest Common Factor

We found the factors 94,4064 . The biggest common factor number is the GCF number.
So the greatest common factor 94,4064 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 872/94, 320/4064

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 872/94, 320/4064?

Answer: LCM of Numerators as per given numbers 872/94, 320/4064 is

LCM of Numerators i.e. for 872,320 is 34880

GCF of denominators i.e. for 94,4064 is 2.

Thus, LCM of Fractions is 17440.Finally, LCM of Fractions for 872/94, 320/4064 is 17440.