Least Common Multiple of 1398/506, 1147/6845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1398/506, 1147/6845 quickly i.e. 1603506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1398/506, 1147/6845 is 1603506.

LCM(1398/506, 1147/6845) = 1603506

LCM of 1398/506, 1147/6845

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 1398/506,1147/6845

Given numbers are 1398/506,1147/6845

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 1398,1147

Least Common Multiple of Numerators i.e. LCM of 1398,1147 is 1603506.

GCF of Denominators means GCF of 506,6845 as per the given fractions.

GCF of 506,6845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1398,1147

LCM of Fractions 1398/506,1147/6845 is 1603506

Given numbers has no common factors except 1. So, there LCM is their product i.e 1603506

Least Common Multiple of 1398,1147 with GCF Formula

Least Common Multiple of 1398,1147 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 1398,1147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1398,1147) = 1

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

GCF(1398,1147) x common factors =1 x 1 = 1

LCM(1398,1147) = ( 1398 × 1147 ) / 1

LCM(1398,1147) = 1603506 / 1

LCM(1398,1147) = 1603506


Lets's calculate GCF of 506,6845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1603506/1

Therefore the LCM of Fractions 1398/506,1147/6845 is 1603506

Greatest Common Factor of 506,6845 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,6845 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 6845

List of positive integer factors of 6845 that divides 6845 without a remainder.

1,5,37,185,1369,6845

Greatest Common Factor

We found the factors 506,6845 . The biggest common factor number is the GCF number.
So the greatest common factor 506,6845 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 1398/506, 1147/6845

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 1398/506, 1147/6845?

Answer: LCM of Numerators as per given numbers 1398/506, 1147/6845 is

LCM of Numerators i.e. for 1398,1147 is 1603506

GCF of denominators i.e. for 506,6845 is 1.

Thus, LCM of Fractions is 1603506.Finally, LCM of Fractions for 1398/506, 1147/6845 is 1603506.