Least Common Multiple of 1317/448, 1807/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1317/448, 1807/630 quickly i.e. 2379819/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1317/448, 1807/630 is 2379819/14.

LCM(1317/448, 1807/630) = 2379819/14

LCM of 1317/448, 1807/630

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 1317/448,1807/630

Given numbers are 1317/448,1807/630

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 1317,1807

Least Common Multiple of Numerators i.e. LCM of 1317,1807 is 2379819.

GCF of Denominators means GCF of 448,630 as per the given fractions.

GCF of 448,630 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1317,1807

LCM of Fractions 1317/448,1807/630 is 2379819/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 2379819

Least Common Multiple of 1317,1807 with GCF Formula

Least Common Multiple of 1317,1807 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 1317,1807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1317,1807) = 1

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

GCF(1317,1807) x common factors =1 x 1 = 1

LCM(1317,1807) = ( 1317 × 1807 ) / 1

LCM(1317,1807) = 2379819 / 1

LCM(1317,1807) = 2379819


Lets's calculate GCF of 448,630

2 448, 630
7 224, 315
32, 45

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2379819/14

Therefore the LCM of Fractions 1317/448,1807/630 is 2379819/14

Greatest Common Factor of 448,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,630 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 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 448,630 . The biggest common factor number is the GCF number.
So the greatest common factor 448,630 is 14.


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 1317/448, 1807/630

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 1317/448, 1807/630?

Answer: LCM of Numerators as per given numbers 1317/448, 1807/630 is

LCM of Numerators i.e. for 1317,1807 is 2379819

GCF of denominators i.e. for 448,630 is 14.

Thus, LCM of Fractions is 2379819/14.Finally, LCM of Fractions for 1317/448, 1807/630 is 2379819/14.