Least Common Multiple of 103/699, 242/450, 688/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/699, 242/450, 688/813 quickly i.e. 8574544/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/699, 242/450, 688/813 is 8574544/3.

LCM(103/699, 242/450, 688/813) = 8574544/3

LCM of 103/699, 242/450, 688/813

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 103/699,242/450,688/813

Given numbers are 103/699,242/450,688/813

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 103,242,688

Least Common Multiple of Numerators i.e. LCM of 103,242,688 is 8574544.

GCF of Denominators means GCF of 699,450,813 as per the given fractions.

GCF of 699,450,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,242,688

LCM of Fractions 103/699,242/450,688/813 is 8574544/3

2 103, 242, 688
103, 121, 344

∴ So the LCM of the given numbers is 2 x 103 x 121 x 344 = 8574544

Least Common Multiple of 103,242,688 with GCF Formula

Least Common Multiple of 103,242,688 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 103,242,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,242,688) = 1

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

GCF(103,242,688) x common factors =1 x 2 = 2

LCM(103,242,688) = ( 103 × 242 × 688 ) / 2

LCM(103,242,688) = 17149088 / 2

LCM(103,242,688) = 8574544


Lets's calculate GCF of 699,450,813

3 699, 450, 813
233, 150, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8574544/3

Therefore the LCM of Fractions 103/699,242/450,688/813 is 8574544/3

Greatest Common Factor of 699,450,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,450,813 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 699,450,813 . The biggest common factor number is the GCF number.
So the greatest common factor 699,450,813 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 103/699, 242/450, 688/813

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 103/699, 242/450, 688/813?

Answer: LCM of Numerators as per given numbers 103/699, 242/450, 688/813 is

LCM of Numerators i.e. for 103,242,688 is 8574544

GCF of denominators i.e. for 699,450,813 is 3.

Thus, LCM of Fractions is 8574544/3.Finally, LCM of Fractions for 103/699, 242/450, 688/813 is 8574544/3.