Least Common Multiple of 688/719, 600/809, 743/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/719, 600/809, 743/896 quickly i.e. 38338800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/719, 600/809, 743/896 is 38338800.

LCM(688/719, 600/809, 743/896) = 38338800

LCM of 688/719, 600/809, 743/896

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 688/719,600/809,743/896

Given numbers are 688/719,600/809,743/896

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 688,600,743

Least Common Multiple of Numerators i.e. LCM of 688,600,743 is 38338800.

GCF of Denominators means GCF of 719,809,896 as per the given fractions.

GCF of 719,809,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,600,743

LCM of Fractions 688/719,600/809,743/896 is 38338800

2 688, 600, 743
2 344, 300, 743
2 172, 150, 743
86, 75, 743

∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 75 x 743 = 38338800

Least Common Multiple of 688,600,743 with GCF Formula

Least Common Multiple of 688,600,743 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 688,600,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,600,743) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(688,600,743) x common factors =1 x 8 = 8

LCM(688,600,743) = ( 688 × 600 × 743 ) / 8

LCM(688,600,743) = 306710400 / 8

LCM(688,600,743) = 38338800


Lets's calculate GCF of 719,809,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38338800/1

Therefore the LCM of Fractions 688/719,600/809,743/896 is 38338800

Greatest Common Factor of 719,809,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,809,896 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 719,809,896 . The biggest common factor number is the GCF number.
So the greatest common factor 719,809,896 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 688/719, 600/809, 743/896

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 688/719, 600/809, 743/896?

Answer: LCM of Numerators as per given numbers 688/719, 600/809, 743/896 is

LCM of Numerators i.e. for 688,600,743 is 38338800

GCF of denominators i.e. for 719,809,896 is 1.

Thus, LCM of Fractions is 38338800.Finally, LCM of Fractions for 688/719, 600/809, 743/896 is 38338800.