Least Common Multiple of 1408/301, 9753/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1408/301, 9753/112 quickly i.e. 13732224/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1408/301, 9753/112 is 13732224/7.

LCM(1408/301, 9753/112) = 13732224/7

LCM of 1408/301, 9753/112

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 1408/301,9753/112

Given numbers are 1408/301,9753/112

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 1408,9753

Least Common Multiple of Numerators i.e. LCM of 1408,9753 is 13732224.

GCF of Denominators means GCF of 301,112 as per the given fractions.

GCF of 301,112 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1408,9753

LCM of Fractions 1408/301,9753/112 is 13732224/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 13732224

Least Common Multiple of 1408,9753 with GCF Formula

Least Common Multiple of 1408,9753 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 1408,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1408,9753) = 1

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

GCF(1408,9753) x common factors =1 x 1 = 1

LCM(1408,9753) = ( 1408 × 9753 ) / 1

LCM(1408,9753) = 13732224 / 1

LCM(1408,9753) = 13732224


Lets's calculate GCF of 301,112

7 301, 112
43, 16

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13732224/7

Therefore the LCM of Fractions 1408/301,9753/112 is 13732224/7

Greatest Common Factor of 301,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,112 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 301,112 . The biggest common factor number is the GCF number.
So the greatest common factor 301,112 is 7.


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 1408/301, 9753/112

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 1408/301, 9753/112?

Answer: LCM of Numerators as per given numbers 1408/301, 9753/112 is

LCM of Numerators i.e. for 1408,9753 is 13732224

GCF of denominators i.e. for 301,112 is 7.

Thus, LCM of Fractions is 13732224/7.Finally, LCM of Fractions for 1408/301, 9753/112 is 13732224/7.