Least Common Multiple of 713/14, 996/1126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 713/14, 996/1126 quickly i.e. 355074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/14, 996/1126 is 355074.

LCM(713/14, 996/1126) = 355074

LCM of 713/14, 996/1126

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 713/14,996/1126

Given numbers are 713/14,996/1126

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 713,996

Least Common Multiple of Numerators i.e. LCM of 713,996 is 710148.

GCF of Denominators means GCF of 14,1126 as per the given fractions.

GCF of 14,1126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,996

LCM of Fractions 713/14,996/1126 is 355074

Given numbers has no common factors except 1. So, there LCM is their product i.e 710148

Least Common Multiple of 713,996 with GCF Formula

Least Common Multiple of 713,996 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 713,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,996) = 1

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

GCF(713,996) x common factors =1 x 1 = 1

LCM(713,996) = ( 713 × 996 ) / 1

LCM(713,996) = 710148 / 1

LCM(713,996) = 710148


Lets's calculate GCF of 14,1126

2 14, 1126
7, 563

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 710148/2

Therefore the LCM of Fractions 713/14,996/1126 is 355074

Greatest Common Factor of 14,1126 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,1126 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 1126

List of positive integer factors of 1126 that divides 1126 without a remainder.

1,2,563,1126

Greatest Common Factor

We found the factors 14,1126 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1126 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 713/14, 996/1126

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 713/14, 996/1126?

Answer: LCM of Numerators as per given numbers 713/14, 996/1126 is

LCM of Numerators i.e. for 713,996 is 710148

GCF of denominators i.e. for 14,1126 is 2.

Thus, LCM of Fractions is 355074.Finally, LCM of Fractions for 713/14, 996/1126 is 355074.