Least Common Multiple of 79/514, 45/114, 482/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/514, 45/114, 482/448 quickly i.e. 856755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/514, 45/114, 482/448 is 856755.

LCM(79/514, 45/114, 482/448) = 856755

LCM of 79/514, 45/114, 482/448

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 79/514,45/114,482/448

Given numbers are 79/514,45/114,482/448

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 79,45,482

Least Common Multiple of Numerators i.e. LCM of 79,45,482 is 1713510.

GCF of Denominators means GCF of 514,114,448 as per the given fractions.

GCF of 514,114,448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,45,482

LCM of Fractions 79/514,45/114,482/448 is 856755

Given numbers has no common factors except 1. So, there LCM is their product i.e 1713510

Least Common Multiple of 79,45,482 with GCF Formula

Least Common Multiple of 79,45,482 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 79,45,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,45,482) = 1

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

GCF(79,45,482) x common factors =1 x 1 = 1

LCM(79,45,482) = ( 79 × 45 × 482 ) / 1

LCM(79,45,482) = 1713510 / 1

LCM(79,45,482) = 1713510


Lets's calculate GCF of 514,114,448

2 514, 114, 448
257, 57, 224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1713510/2

Therefore the LCM of Fractions 79/514,45/114,482/448 is 856755

Greatest Common Factor of 514,114,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,114,448 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

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 514,114,448 . The biggest common factor number is the GCF number.
So the greatest common factor 514,114,448 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 79/514, 45/114, 482/448

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 79/514, 45/114, 482/448?

Answer: LCM of Numerators as per given numbers 79/514, 45/114, 482/448 is

LCM of Numerators i.e. for 79,45,482 is 1713510

GCF of denominators i.e. for 514,114,448 is 2.

Thus, LCM of Fractions is 856755.Finally, LCM of Fractions for 79/514, 45/114, 482/448 is 856755.