Least Common Multiple of 1845/114, 3970/6231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1845/114, 3970/6231 quickly i.e. 488310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1845/114, 3970/6231 is 488310.

LCM(1845/114, 3970/6231) = 488310

LCM of 1845/114, 3970/6231

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 1845/114,3970/6231

Given numbers are 1845/114,3970/6231

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 1845,3970

Least Common Multiple of Numerators i.e. LCM of 1845,3970 is 1464930.

GCF of Denominators means GCF of 114,6231 as per the given fractions.

GCF of 114,6231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1845,3970

LCM of Fractions 1845/114,3970/6231 is 488310

5 1845, 3970
369, 794

∴ So the LCM of the given numbers is 5 x 369 x 794 = 1464930

Least Common Multiple of 1845,3970 with GCF Formula

Least Common Multiple of 1845,3970 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 1845,3970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1845,3970) = 5

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

GCF(1845,3970) x common factors =5 x 1 = 5

LCM(1845,3970) = ( 1845 × 3970 ) / 5

LCM(1845,3970) = 7324650 / 5

LCM(1845,3970) = 1464930


Lets's calculate GCF of 114,6231

3 114, 6231
38, 2077

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1464930/3

Therefore the LCM of Fractions 1845/114,3970/6231 is 488310

Greatest Common Factor of 114,6231 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,6231 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 6231

List of positive integer factors of 6231 that divides 6231 without a remainder.

1,3,31,67,93,201,2077,6231

Greatest Common Factor

We found the factors 114,6231 . The biggest common factor number is the GCF number.
So the greatest common factor 114,6231 is 3.


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 1845/114, 3970/6231

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 1845/114, 3970/6231?

Answer: LCM of Numerators as per given numbers 1845/114, 3970/6231 is

LCM of Numerators i.e. for 1845,3970 is 1464930

GCF of denominators i.e. for 114,6231 is 3.

Thus, LCM of Fractions is 488310.Finally, LCM of Fractions for 1845/114, 3970/6231 is 488310.