Least Common Multiple of 7700/411, 1394/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7700/411, 1394/123 quickly i.e. 5366900/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7700/411, 1394/123 is 5366900/3.

LCM(7700/411, 1394/123) = 5366900/3

LCM of 7700/411, 1394/123

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 7700/411,1394/123

Given numbers are 7700/411,1394/123

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 7700,1394

Least Common Multiple of Numerators i.e. LCM of 7700,1394 is 5366900.

GCF of Denominators means GCF of 411,123 as per the given fractions.

GCF of 411,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7700,1394

LCM of Fractions 7700/411,1394/123 is 5366900/3

2 7700, 1394
3850, 697

∴ So the LCM of the given numbers is 2 x 3850 x 697 = 5366900

Least Common Multiple of 7700,1394 with GCF Formula

Least Common Multiple of 7700,1394 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 7700,1394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7700,1394) = 2

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

GCF(7700,1394) x common factors =2 x 1 = 2

LCM(7700,1394) = ( 7700 × 1394 ) / 2

LCM(7700,1394) = 10733800 / 2

LCM(7700,1394) = 5366900


Lets's calculate GCF of 411,123

3 411, 123
137, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5366900/3

Therefore the LCM of Fractions 7700/411,1394/123 is 5366900/3

Greatest Common Factor of 411,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,123 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 411,123 . The biggest common factor number is the GCF number.
So the greatest common factor 411,123 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 7700/411, 1394/123

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 7700/411, 1394/123?

Answer: LCM of Numerators as per given numbers 7700/411, 1394/123 is

LCM of Numerators i.e. for 7700,1394 is 5366900

GCF of denominators i.e. for 411,123 is 3.

Thus, LCM of Fractions is 5366900/3.Finally, LCM of Fractions for 7700/411, 1394/123 is 5366900/3.