Least Common Multiple of 316/322, 448/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/322, 448/470 quickly i.e. 17696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/322, 448/470 is 17696.

LCM(316/322, 448/470) = 17696

LCM of 316/322, 448/470

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 316/322,448/470

Given numbers are 316/322,448/470

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 316,448

Least Common Multiple of Numerators i.e. LCM of 316,448 is 35392.

GCF of Denominators means GCF of 322,470 as per the given fractions.

GCF of 322,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,448

LCM of Fractions 316/322,448/470 is 17696

2 316, 448
2 158, 224
79, 112

∴ So the LCM of the given numbers is 2 x 2 x 79 x 112 = 35392

Least Common Multiple of 316,448 with GCF Formula

Least Common Multiple of 316,448 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 316,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,448) = 4

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

GCF(316,448) x common factors =4 x 1 = 4

LCM(316,448) = ( 316 × 448 ) / 4

LCM(316,448) = 141568 / 4

LCM(316,448) = 35392


Lets's calculate GCF of 322,470

2 322, 470
161, 235

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35392/2

Therefore the LCM of Fractions 316/322,448/470 is 17696

Greatest Common Factor of 322,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,470 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 322,470 . The biggest common factor number is the GCF number.
So the greatest common factor 322,470 is 2.


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 316/322, 448/470

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 316/322, 448/470?

Answer: LCM of Numerators as per given numbers 316/322, 448/470 is

LCM of Numerators i.e. for 316,448 is 35392

GCF of denominators i.e. for 322,470 is 2.

Thus, LCM of Fractions is 17696.Finally, LCM of Fractions for 316/322, 448/470 is 17696.