Least Common Multiple of 120/29, 740/7585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/29, 740/7585 quickly i.e. 4440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/29, 740/7585 is 4440.

LCM(120/29, 740/7585) = 4440

LCM of 120/29, 740/7585

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 120/29,740/7585

Given numbers are 120/29,740/7585

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 120,740

Least Common Multiple of Numerators i.e. LCM of 120,740 is 4440.

GCF of Denominators means GCF of 29,7585 as per the given fractions.

GCF of 29,7585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,740

LCM of Fractions 120/29,740/7585 is 4440

2 120, 740
2 60, 370
5 30, 185
6, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 6 x 37 = 4440

Least Common Multiple of 120,740 with GCF Formula

Least Common Multiple of 120,740 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 120,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,740) = 20

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

GCF(120,740) x common factors =20 x 1 = 20

LCM(120,740) = ( 120 × 740 ) / 20

LCM(120,740) = 88800 / 20

LCM(120,740) = 4440


Lets's calculate GCF of 29,7585

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4440/1

Therefore the LCM of Fractions 120/29,740/7585 is 4440

Greatest Common Factor of 29,7585 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,7585 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1,5,37,41,185,205,1517,7585

Greatest Common Factor

We found the factors 29,7585 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7585 is 1.


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 120/29, 740/7585

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 120/29, 740/7585?

Answer: LCM of Numerators as per given numbers 120/29, 740/7585 is

LCM of Numerators i.e. for 120,740 is 4440

GCF of denominators i.e. for 29,7585 is 1.

Thus, LCM of Fractions is 4440.Finally, LCM of Fractions for 120/29, 740/7585 is 4440.