Least Common Multiple of 582/672, 705/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/672, 705/448 quickly i.e. 136770/224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/672, 705/448 is 136770/224.

LCM(582/672, 705/448) = 136770/224

LCM of 582/672, 705/448

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 582/672,705/448

Given numbers are 582/672,705/448

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 582,705

Least Common Multiple of Numerators i.e. LCM of 582,705 is 136770.

GCF of Denominators means GCF of 672,448 as per the given fractions.

GCF of 672,448 is 224 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,705

LCM of Fractions 582/672,705/448 is 136770/224

3 582, 705
194, 235

∴ So the LCM of the given numbers is 3 x 194 x 235 = 136770

Least Common Multiple of 582,705 with GCF Formula

Least Common Multiple of 582,705 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 582,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,705) = 3

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

GCF(582,705) x common factors =3 x 1 = 3

LCM(582,705) = ( 582 × 705 ) / 3

LCM(582,705) = 410310 / 3

LCM(582,705) = 136770


Lets's calculate GCF of 672,448

2 672, 448
2 336, 224
2 168, 112
2 84, 56
2 42, 28
7 21, 14
3, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 = 224

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136770/224

Therefore the LCM of Fractions 582/672,705/448 is 136770/224

Greatest Common Factor of 672,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,448 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

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

Greatest Common Factor

We found the factors 672,448 . The biggest common factor number is the GCF number.
So the greatest common factor 672,448 is 224.


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 582/672, 705/448

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 582/672, 705/448?

Answer: LCM of Numerators as per given numbers 582/672, 705/448 is

LCM of Numerators i.e. for 582,705 is 136770

GCF of denominators i.e. for 672,448 is 224.

Thus, LCM of Fractions is 136770/224.Finally, LCM of Fractions for 582/672, 705/448 is 136770/224.