Least Common Multiple of 29/62, 45/14, 112/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/62, 45/14, 112/640 quickly i.e. 73080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/62, 45/14, 112/640 is 73080.

LCM(29/62, 45/14, 112/640) = 73080

LCM of 29/62, 45/14, 112/640

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 29/62,45/14,112/640

Given numbers are 29/62,45/14,112/640

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 29,45,112

Least Common Multiple of Numerators i.e. LCM of 29,45,112 is 146160.

GCF of Denominators means GCF of 62,14,640 as per the given fractions.

GCF of 62,14,640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,45,112

LCM of Fractions 29/62,45/14,112/640 is 73080

Given numbers has no common factors except 1. So, there LCM is their product i.e 146160

Least Common Multiple of 29,45,112 with GCF Formula

Least Common Multiple of 29,45,112 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 29,45,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,45,112) = 1

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

GCF(29,45,112) x common factors =1 x 1 = 1

LCM(29,45,112) = ( 29 × 45 × 112 ) / 1

LCM(29,45,112) = 146160 / 1

LCM(29,45,112) = 146160


Lets's calculate GCF of 62,14,640

2 62, 14, 640
31, 7, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146160/2

Therefore the LCM of Fractions 29/62,45/14,112/640 is 73080

Greatest Common Factor of 62,14,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,14,640 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 62,14,640 . The biggest common factor number is the GCF number.
So the greatest common factor 62,14,640 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 29/62, 45/14, 112/640

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 29/62, 45/14, 112/640?

Answer: LCM of Numerators as per given numbers 29/62, 45/14, 112/640 is

LCM of Numerators i.e. for 29,45,112 is 146160

GCF of denominators i.e. for 62,14,640 is 2.

Thus, LCM of Fractions is 73080.Finally, LCM of Fractions for 29/62, 45/14, 112/640 is 73080.