Least Common Multiple of 301/40, 437/76, 411/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/40, 437/76, 411/120 quickly i.e. 54061707/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/40, 437/76, 411/120 is 54061707/4.

LCM(301/40, 437/76, 411/120) = 54061707/4

LCM of 301/40, 437/76, 411/120

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 301/40,437/76,411/120

Given numbers are 301/40,437/76,411/120

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 301,437,411

Least Common Multiple of Numerators i.e. LCM of 301,437,411 is 54061707.

GCF of Denominators means GCF of 40,76,120 as per the given fractions.

GCF of 40,76,120 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,437,411

LCM of Fractions 301/40,437/76,411/120 is 54061707/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 54061707

Least Common Multiple of 301,437,411 with GCF Formula

Least Common Multiple of 301,437,411 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 301,437,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,437,411) = 1

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

GCF(301,437,411) x common factors =1 x 1 = 1

LCM(301,437,411) = ( 301 × 437 × 411 ) / 1

LCM(301,437,411) = 54061707 / 1

LCM(301,437,411) = 54061707


Lets's calculate GCF of 40,76,120

2 40, 76, 120
2 20, 38, 60
10, 19, 30

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54061707/4

Therefore the LCM of Fractions 301/40,437/76,411/120 is 54061707/4

Greatest Common Factor of 40,76,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,76,120 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 40,76,120 . The biggest common factor number is the GCF number.
So the greatest common factor 40,76,120 is 4.


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 301/40, 437/76, 411/120

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 301/40, 437/76, 411/120?

Answer: LCM of Numerators as per given numbers 301/40, 437/76, 411/120 is

LCM of Numerators i.e. for 301,437,411 is 54061707

GCF of denominators i.e. for 40,76,120 is 4.

Thus, LCM of Fractions is 54061707/4.Finally, LCM of Fractions for 301/40, 437/76, 411/120 is 54061707/4.