Least Common Multiple of 308/638, 1820/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/638, 1820/960 quickly i.e. 10010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/638, 1820/960 is 10010.

LCM(308/638, 1820/960) = 10010

LCM of 308/638, 1820/960

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 308/638,1820/960

Given numbers are 308/638,1820/960

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 308,1820

Least Common Multiple of Numerators i.e. LCM of 308,1820 is 20020.

GCF of Denominators means GCF of 638,960 as per the given fractions.

GCF of 638,960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,1820

LCM of Fractions 308/638,1820/960 is 10010

2 308, 1820
2 154, 910
7 77, 455
11, 65

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 65 = 20020

Least Common Multiple of 308,1820 with GCF Formula

Least Common Multiple of 308,1820 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 308,1820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,1820) = 28

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

GCF(308,1820) x common factors =28 x 1 = 28

LCM(308,1820) = ( 308 × 1820 ) / 28

LCM(308,1820) = 560560 / 28

LCM(308,1820) = 20020


Lets's calculate GCF of 638,960

2 638, 960
319, 480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20020/2

Therefore the LCM of Fractions 308/638,1820/960 is 10010

Greatest Common Factor of 638,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,960 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 638,960 . The biggest common factor number is the GCF number.
So the greatest common factor 638,960 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 308/638, 1820/960

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 308/638, 1820/960?

Answer: LCM of Numerators as per given numbers 308/638, 1820/960 is

LCM of Numerators i.e. for 308,1820 is 20020

GCF of denominators i.e. for 638,960 is 2.

Thus, LCM of Fractions is 10010.Finally, LCM of Fractions for 308/638, 1820/960 is 10010.