Least Common Multiple of 1910/798, 6912/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1910/798, 6912/909 quickly i.e. 2200320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1910/798, 6912/909 is 2200320.

LCM(1910/798, 6912/909) = 2200320

LCM of 1910/798, 6912/909

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 1910/798,6912/909

Given numbers are 1910/798,6912/909

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 1910,6912

Least Common Multiple of Numerators i.e. LCM of 1910,6912 is 6600960.

GCF of Denominators means GCF of 798,909 as per the given fractions.

GCF of 798,909 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1910,6912

LCM of Fractions 1910/798,6912/909 is 2200320

2 1910, 6912
955, 3456

∴ So the LCM of the given numbers is 2 x 955 x 3456 = 6600960

Least Common Multiple of 1910,6912 with GCF Formula

Least Common Multiple of 1910,6912 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 1910,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1910,6912) = 2

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

GCF(1910,6912) x common factors =2 x 1 = 2

LCM(1910,6912) = ( 1910 × 6912 ) / 2

LCM(1910,6912) = 13201920 / 2

LCM(1910,6912) = 6600960


Lets's calculate GCF of 798,909

3 798, 909
266, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6600960/3

Therefore the LCM of Fractions 1910/798,6912/909 is 2200320

Greatest Common Factor of 798,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,909 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 798,909 . The biggest common factor number is the GCF number.
So the greatest common factor 798,909 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 1910/798, 6912/909

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 1910/798, 6912/909?

Answer: LCM of Numerators as per given numbers 1910/798, 6912/909 is

LCM of Numerators i.e. for 1910,6912 is 6600960

GCF of denominators i.e. for 798,909 is 3.

Thus, LCM of Fractions is 2200320.Finally, LCM of Fractions for 1910/798, 6912/909 is 2200320.