Least Common Multiple of 448/759, 6756/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/759, 6756/280 quickly i.e. 756672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/759, 6756/280 is 756672.

LCM(448/759, 6756/280) = 756672

LCM of 448/759, 6756/280

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 448/759,6756/280

Given numbers are 448/759,6756/280

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 448,6756

Least Common Multiple of Numerators i.e. LCM of 448,6756 is 756672.

GCF of Denominators means GCF of 759,280 as per the given fractions.

GCF of 759,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,6756

LCM of Fractions 448/759,6756/280 is 756672

2 448, 6756
2 224, 3378
112, 1689

∴ So the LCM of the given numbers is 2 x 2 x 112 x 1689 = 756672

Least Common Multiple of 448,6756 with GCF Formula

Least Common Multiple of 448,6756 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 448,6756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,6756) = 4

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

GCF(448,6756) x common factors =4 x 1 = 4

LCM(448,6756) = ( 448 × 6756 ) / 4

LCM(448,6756) = 3026688 / 4

LCM(448,6756) = 756672


Lets's calculate GCF of 759,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 756672/1

Therefore the LCM of Fractions 448/759,6756/280 is 756672

Greatest Common Factor of 759,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,280 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 759,280 . The biggest common factor number is the GCF number.
So the greatest common factor 759,280 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 448/759, 6756/280

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 448/759, 6756/280?

Answer: LCM of Numerators as per given numbers 448/759, 6756/280 is

LCM of Numerators i.e. for 448,6756 is 756672

GCF of denominators i.e. for 759,280 is 1.

Thus, LCM of Fractions is 756672.Finally, LCM of Fractions for 448/759, 6756/280 is 756672.