Least Common Multiple of 1061/686, 9933/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1061/686, 9933/103 quickly i.e. 10538913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1061/686, 9933/103 is 10538913.

LCM(1061/686, 9933/103) = 10538913

LCM of 1061/686, 9933/103

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 1061/686,9933/103

Given numbers are 1061/686,9933/103

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 1061,9933

Least Common Multiple of Numerators i.e. LCM of 1061,9933 is 10538913.

GCF of Denominators means GCF of 686,103 as per the given fractions.

GCF of 686,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1061,9933

LCM of Fractions 1061/686,9933/103 is 10538913

Given numbers has no common factors except 1. So, there LCM is their product i.e 10538913

Least Common Multiple of 1061,9933 with GCF Formula

Least Common Multiple of 1061,9933 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 1061,9933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1061,9933) = 1

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

GCF(1061,9933) x common factors =1 x 1 = 1

LCM(1061,9933) = ( 1061 × 9933 ) / 1

LCM(1061,9933) = 10538913 / 1

LCM(1061,9933) = 10538913


Lets's calculate GCF of 686,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10538913/1

Therefore the LCM of Fractions 1061/686,9933/103 is 10538913

Greatest Common Factor of 686,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,103 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 686,103 . The biggest common factor number is the GCF number.
So the greatest common factor 686,103 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 1061/686, 9933/103

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 1061/686, 9933/103?

Answer: LCM of Numerators as per given numbers 1061/686, 9933/103 is

LCM of Numerators i.e. for 1061,9933 is 10538913

GCF of denominators i.e. for 686,103 is 1.

Thus, LCM of Fractions is 10538913.Finally, LCM of Fractions for 1061/686, 9933/103 is 10538913.