Least Common Multiple of 748/800, 309/867, 430/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/800, 309/867, 430/909 quickly i.e. 49693380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/800, 309/867, 430/909 is 49693380.

LCM(748/800, 309/867, 430/909) = 49693380

LCM of 748/800, 309/867, 430/909

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 748/800,309/867,430/909

Given numbers are 748/800,309/867,430/909

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 748,309,430

Least Common Multiple of Numerators i.e. LCM of 748,309,430 is 49693380.

GCF of Denominators means GCF of 800,867,909 as per the given fractions.

GCF of 800,867,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,309,430

LCM of Fractions 748/800,309/867,430/909 is 49693380

2 748, 309, 430
374, 309, 215

∴ So the LCM of the given numbers is 2 x 374 x 309 x 215 = 49693380

Least Common Multiple of 748,309,430 with GCF Formula

Least Common Multiple of 748,309,430 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 748,309,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,309,430) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(748,309,430) x common factors =1 x 2 = 2

LCM(748,309,430) = ( 748 × 309 × 430 ) / 2

LCM(748,309,430) = 99386760 / 2

LCM(748,309,430) = 49693380


Lets's calculate GCF of 800,867,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49693380/1

Therefore the LCM of Fractions 748/800,309/867,430/909 is 49693380

Greatest Common Factor of 800,867,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,867,909 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

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 800,867,909 . The biggest common factor number is the GCF number.
So the greatest common factor 800,867,909 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 748/800, 309/867, 430/909

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 748/800, 309/867, 430/909?

Answer: LCM of Numerators as per given numbers 748/800, 309/867, 430/909 is

LCM of Numerators i.e. for 748,309,430 is 49693380

GCF of denominators i.e. for 800,867,909 is 1.

Thus, LCM of Fractions is 49693380.Finally, LCM of Fractions for 748/800, 309/867, 430/909 is 49693380.