Least Common Multiple of 123/826, 190/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/826, 190/680 quickly i.e. 11685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/826, 190/680 is 11685.

LCM(123/826, 190/680) = 11685

LCM of 123/826, 190/680

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 123/826,190/680

Given numbers are 123/826,190/680

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 123,190

Least Common Multiple of Numerators i.e. LCM of 123,190 is 23370.

GCF of Denominators means GCF of 826,680 as per the given fractions.

GCF of 826,680 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,190

LCM of Fractions 123/826,190/680 is 11685

Given numbers has no common factors except 1. So, there LCM is their product i.e 23370

Least Common Multiple of 123,190 with GCF Formula

Least Common Multiple of 123,190 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 123,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,190) = 1

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

GCF(123,190) x common factors =1 x 1 = 1

LCM(123,190) = ( 123 × 190 ) / 1

LCM(123,190) = 23370 / 1

LCM(123,190) = 23370


Lets's calculate GCF of 826,680

2 826, 680
413, 340

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23370/2

Therefore the LCM of Fractions 123/826,190/680 is 11685

Greatest Common Factor of 826,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,680 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 826,680 . The biggest common factor number is the GCF number.
So the greatest common factor 826,680 is 2.


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 123/826, 190/680

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 123/826, 190/680?

Answer: LCM of Numerators as per given numbers 123/826, 190/680 is

LCM of Numerators i.e. for 123,190 is 23370

GCF of denominators i.e. for 826,680 is 2.

Thus, LCM of Fractions is 11685.Finally, LCM of Fractions for 123/826, 190/680 is 11685.