Least Common Multiple of 4037/899, 1898/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4037/899, 1898/310 quickly i.e. 7662226/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4037/899, 1898/310 is 7662226/31.

LCM(4037/899, 1898/310) = 7662226/31

LCM of 4037/899, 1898/310

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 4037/899,1898/310

Given numbers are 4037/899,1898/310

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 4037,1898

Least Common Multiple of Numerators i.e. LCM of 4037,1898 is 7662226.

GCF of Denominators means GCF of 899,310 as per the given fractions.

GCF of 899,310 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4037,1898

LCM of Fractions 4037/899,1898/310 is 7662226/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 7662226

Least Common Multiple of 4037,1898 with GCF Formula

Least Common Multiple of 4037,1898 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 4037,1898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4037,1898) = 1

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

GCF(4037,1898) x common factors =1 x 1 = 1

LCM(4037,1898) = ( 4037 × 1898 ) / 1

LCM(4037,1898) = 7662226 / 1

LCM(4037,1898) = 7662226


Lets's calculate GCF of 899,310

31 899, 310
29, 10

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7662226/31

Therefore the LCM of Fractions 4037/899,1898/310 is 7662226/31

Greatest Common Factor of 899,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,310 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 899,310 . The biggest common factor number is the GCF number.
So the greatest common factor 899,310 is 31.


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 4037/899, 1898/310

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 4037/899, 1898/310?

Answer: LCM of Numerators as per given numbers 4037/899, 1898/310 is

LCM of Numerators i.e. for 4037,1898 is 7662226

GCF of denominators i.e. for 899,310 is 31.

Thus, LCM of Fractions is 7662226/31.Finally, LCM of Fractions for 4037/899, 1898/310 is 7662226/31.