Least Common Multiple of 732/20, 360/7006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/20, 360/7006 quickly i.e. 10980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/20, 360/7006 is 10980.

LCM(732/20, 360/7006) = 10980

LCM of 732/20, 360/7006

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 732/20,360/7006

Given numbers are 732/20,360/7006

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 732,360

Least Common Multiple of Numerators i.e. LCM of 732,360 is 21960.

GCF of Denominators means GCF of 20,7006 as per the given fractions.

GCF of 20,7006 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,360

LCM of Fractions 732/20,360/7006 is 10980

2 732, 360
2 366, 180
3 183, 90
61, 30

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 30 = 21960

Least Common Multiple of 732,360 with GCF Formula

Least Common Multiple of 732,360 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 732,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,360) = 12

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

GCF(732,360) x common factors =12 x 1 = 12

LCM(732,360) = ( 732 × 360 ) / 12

LCM(732,360) = 263520 / 12

LCM(732,360) = 21960


Lets's calculate GCF of 20,7006

2 20, 7006
10, 3503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21960/2

Therefore the LCM of Fractions 732/20,360/7006 is 10980

Greatest Common Factor of 20,7006 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,7006 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Greatest Common Factor

We found the factors 20,7006 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7006 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 732/20, 360/7006

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 732/20, 360/7006?

Answer: LCM of Numerators as per given numbers 732/20, 360/7006 is

LCM of Numerators i.e. for 732,360 is 21960

GCF of denominators i.e. for 20,7006 is 2.

Thus, LCM of Fractions is 10980.Finally, LCM of Fractions for 732/20, 360/7006 is 10980.