Least Common Multiple of 4012/601, 4116/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4012/601, 4116/737 quickly i.e. 4128348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4012/601, 4116/737 is 4128348.

LCM(4012/601, 4116/737) = 4128348

LCM of 4012/601, 4116/737

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 4012/601,4116/737

Given numbers are 4012/601,4116/737

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 4012,4116

Least Common Multiple of Numerators i.e. LCM of 4012,4116 is 4128348.

GCF of Denominators means GCF of 601,737 as per the given fractions.

GCF of 601,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4012,4116

LCM of Fractions 4012/601,4116/737 is 4128348

2 4012, 4116
2 2006, 2058
1003, 1029

∴ So the LCM of the given numbers is 2 x 2 x 1003 x 1029 = 4128348

Least Common Multiple of 4012,4116 with GCF Formula

Least Common Multiple of 4012,4116 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 4012,4116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4012,4116) = 4

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

GCF(4012,4116) x common factors =4 x 1 = 4

LCM(4012,4116) = ( 4012 × 4116 ) / 4

LCM(4012,4116) = 16513392 / 4

LCM(4012,4116) = 4128348


Lets's calculate GCF of 601,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4128348/1

Therefore the LCM of Fractions 4012/601,4116/737 is 4128348

Greatest Common Factor of 601,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,737 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 601,737 . The biggest common factor number is the GCF number.
So the greatest common factor 601,737 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 4012/601, 4116/737

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 4012/601, 4116/737?

Answer: LCM of Numerators as per given numbers 4012/601, 4116/737 is

LCM of Numerators i.e. for 4012,4116 is 4128348

GCF of denominators i.e. for 601,737 is 1.

Thus, LCM of Fractions is 4128348.Finally, LCM of Fractions for 4012/601, 4116/737 is 4128348.