Least Common Multiple of 1117/448, 1507/7703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1117/448, 1507/7703 quickly i.e. 1683319 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1117/448, 1507/7703 is 1683319.

LCM(1117/448, 1507/7703) = 1683319

LCM of 1117/448, 1507/7703

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 1117/448,1507/7703

Given numbers are 1117/448,1507/7703

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 1117,1507

Least Common Multiple of Numerators i.e. LCM of 1117,1507 is 1683319.

GCF of Denominators means GCF of 448,7703 as per the given fractions.

GCF of 448,7703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1117,1507

LCM of Fractions 1117/448,1507/7703 is 1683319

Given numbers has no common factors except 1. So, there LCM is their product i.e 1683319

Least Common Multiple of 1117,1507 with GCF Formula

Least Common Multiple of 1117,1507 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 1117,1507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1117,1507) = 1

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

GCF(1117,1507) x common factors =1 x 1 = 1

LCM(1117,1507) = ( 1117 × 1507 ) / 1

LCM(1117,1507) = 1683319 / 1

LCM(1117,1507) = 1683319


Lets's calculate GCF of 448,7703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1683319/1

Therefore the LCM of Fractions 1117/448,1507/7703 is 1683319

Greatest Common Factor of 448,7703 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,7703 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

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

Factors of 7703

List of positive integer factors of 7703 that divides 7703 without a remainder.

1,7703

Greatest Common Factor

We found the factors 448,7703 . The biggest common factor number is the GCF number.
So the greatest common factor 448,7703 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 1117/448, 1507/7703

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 1117/448, 1507/7703?

Answer: LCM of Numerators as per given numbers 1117/448, 1507/7703 is

LCM of Numerators i.e. for 1117,1507 is 1683319

GCF of denominators i.e. for 448,7703 is 1.

Thus, LCM of Fractions is 1683319.Finally, LCM of Fractions for 1117/448, 1507/7703 is 1683319.