Least Common Multiple of 80/94, 12/58, 384/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/94, 12/58, 384/504 quickly i.e. 960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/94, 12/58, 384/504 is 960.

LCM(80/94, 12/58, 384/504) = 960

LCM of 80/94, 12/58, 384/504

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 80/94,12/58,384/504

Given numbers are 80/94,12/58,384/504

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 80,12,384

Least Common Multiple of Numerators i.e. LCM of 80,12,384 is 1920.

GCF of Denominators means GCF of 94,58,504 as per the given fractions.

GCF of 94,58,504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,12,384

LCM of Fractions 80/94,12/58,384/504 is 960

2 80, 12, 384
2 40, 6, 192
2 20, 3, 96
2 10, 3, 48
3 5, 3, 24
5, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 8 = 1920

Least Common Multiple of 80,12,384 with GCF Formula

Least Common Multiple of 80,12,384 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 80,12,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,12,384) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(80,12,384) x common factors =4 x 48 = 192

LCM(80,12,384) = ( 80 × 12 × 384 ) / 192

LCM(80,12,384) = 368640 / 192

LCM(80,12,384) = 1920


Lets's calculate GCF of 94,58,504

2 94, 58, 504
47, 29, 252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1920/2

Therefore the LCM of Fractions 80/94,12/58,384/504 is 960

Greatest Common Factor of 94,58,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,58,504 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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 94,58,504 . The biggest common factor number is the GCF number.
So the greatest common factor 94,58,504 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 80/94, 12/58, 384/504

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 80/94, 12/58, 384/504?

Answer: LCM of Numerators as per given numbers 80/94, 12/58, 384/504 is

LCM of Numerators i.e. for 80,12,384 is 1920

GCF of denominators i.e. for 94,58,504 is 2.

Thus, LCM of Fractions is 960.Finally, LCM of Fractions for 80/94, 12/58, 384/504 is 960.