Least Common Multiple of 308/314, 6720/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/314, 6720/282 quickly i.e. 36960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/314, 6720/282 is 36960.

LCM(308/314, 6720/282) = 36960

LCM of 308/314, 6720/282

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 308/314,6720/282

Given numbers are 308/314,6720/282

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 308,6720

Least Common Multiple of Numerators i.e. LCM of 308,6720 is 73920.

GCF of Denominators means GCF of 314,282 as per the given fractions.

GCF of 314,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,6720

LCM of Fractions 308/314,6720/282 is 36960

2 308, 6720
2 154, 3360
7 77, 1680
11, 240

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 240 = 73920

Least Common Multiple of 308,6720 with GCF Formula

Least Common Multiple of 308,6720 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 308,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,6720) = 28

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

GCF(308,6720) x common factors =28 x 1 = 28

LCM(308,6720) = ( 308 × 6720 ) / 28

LCM(308,6720) = 2069760 / 28

LCM(308,6720) = 73920


Lets's calculate GCF of 314,282

2 314, 282
157, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73920/2

Therefore the LCM of Fractions 308/314,6720/282 is 36960

Greatest Common Factor of 314,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,282 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 314,282 . The biggest common factor number is the GCF number.
So the greatest common factor 314,282 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 308/314, 6720/282

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 308/314, 6720/282?

Answer: LCM of Numerators as per given numbers 308/314, 6720/282 is

LCM of Numerators i.e. for 308,6720 is 73920

GCF of denominators i.e. for 314,282 is 2.

Thus, LCM of Fractions is 36960.Finally, LCM of Fractions for 308/314, 6720/282 is 36960.