Least Common Multiple of 7/112, 30/592, 60/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/112, 30/592, 60/320 quickly i.e. 420/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/112, 30/592, 60/320 is 420/16.

LCM(7/112, 30/592, 60/320) = 420/16

LCM of 7/112, 30/592, 60/320

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 7/112,30/592,60/320

Given numbers are 7/112,30/592,60/320

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 7,30,60

Least Common Multiple of Numerators i.e. LCM of 7,30,60 is 420.

GCF of Denominators means GCF of 112,592,320 as per the given fractions.

GCF of 112,592,320 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,30,60

LCM of Fractions 7/112,30/592,60/320 is 420/16

2 7, 30, 60
3 7, 15, 30
5 7, 5, 10
7, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 2 = 420

Least Common Multiple of 7,30,60 with GCF Formula

Least Common Multiple of 7,30,60 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 7,30,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,30,60) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(7,30,60) x common factors =1 x 30 = 30

LCM(7,30,60) = ( 7 × 30 × 60 ) / 30

LCM(7,30,60) = 12600 / 30

LCM(7,30,60) = 420


Lets's calculate GCF of 112,592,320

2 112, 592, 320
2 56, 296, 160
2 28, 148, 80
2 14, 74, 40
7, 37, 20

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/16

Therefore the LCM of Fractions 7/112,30/592,60/320 is 420/16

Greatest Common Factor of 112,592,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,592,320 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 112,592,320 . The biggest common factor number is the GCF number.
So the greatest common factor 112,592,320 is 16.


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 7/112, 30/592, 60/320

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 7/112, 30/592, 60/320?

Answer: LCM of Numerators as per given numbers 7/112, 30/592, 60/320 is

LCM of Numerators i.e. for 7,30,60 is 420

GCF of denominators i.e. for 112,592,320 is 16.

Thus, LCM of Fractions is 420/16.Finally, LCM of Fractions for 7/112, 30/592, 60/320 is 420/16.