Least Common Multiple of 723/99, 2696/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/99, 2696/658 quickly i.e. 1949208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/99, 2696/658 is 1949208.

LCM(723/99, 2696/658) = 1949208

LCM of 723/99, 2696/658

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 723/99,2696/658

Given numbers are 723/99,2696/658

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 723,2696

Least Common Multiple of Numerators i.e. LCM of 723,2696 is 1949208.

GCF of Denominators means GCF of 99,658 as per the given fractions.

GCF of 99,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,2696

LCM of Fractions 723/99,2696/658 is 1949208

Given numbers has no common factors except 1. So, there LCM is their product i.e 1949208

Least Common Multiple of 723,2696 with GCF Formula

Least Common Multiple of 723,2696 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 723,2696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,2696) = 1

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

GCF(723,2696) x common factors =1 x 1 = 1

LCM(723,2696) = ( 723 × 2696 ) / 1

LCM(723,2696) = 1949208 / 1

LCM(723,2696) = 1949208


Lets's calculate GCF of 99,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1949208/1

Therefore the LCM of Fractions 723/99,2696/658 is 1949208

Greatest Common Factor of 99,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,658 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 99,658 . The biggest common factor number is the GCF number.
So the greatest common factor 99,658 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 723/99, 2696/658

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 723/99, 2696/658?

Answer: LCM of Numerators as per given numbers 723/99, 2696/658 is

LCM of Numerators i.e. for 723,2696 is 1949208

GCF of denominators i.e. for 99,658 is 1.

Thus, LCM of Fractions is 1949208.Finally, LCM of Fractions for 723/99, 2696/658 is 1949208.