Least Common Multiple of 1820/66, 6408/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1820/66, 6408/896 quickly i.e. 1457820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1820/66, 6408/896 is 1457820.

LCM(1820/66, 6408/896) = 1457820

LCM of 1820/66, 6408/896

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 1820/66,6408/896

Given numbers are 1820/66,6408/896

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 1820,6408

Least Common Multiple of Numerators i.e. LCM of 1820,6408 is 2915640.

GCF of Denominators means GCF of 66,896 as per the given fractions.

GCF of 66,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1820,6408

LCM of Fractions 1820/66,6408/896 is 1457820

2 1820, 6408
2 910, 3204
455, 1602

∴ So the LCM of the given numbers is 2 x 2 x 455 x 1602 = 2915640

Least Common Multiple of 1820,6408 with GCF Formula

Least Common Multiple of 1820,6408 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 1820,6408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1820,6408) = 4

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

GCF(1820,6408) x common factors =4 x 1 = 4

LCM(1820,6408) = ( 1820 × 6408 ) / 4

LCM(1820,6408) = 11662560 / 4

LCM(1820,6408) = 2915640


Lets's calculate GCF of 66,896

2 66, 896
33, 448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2915640/2

Therefore the LCM of Fractions 1820/66,6408/896 is 1457820

Greatest Common Factor of 66,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,896 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 66,896 . The biggest common factor number is the GCF number.
So the greatest common factor 66,896 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 1820/66, 6408/896

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 1820/66, 6408/896?

Answer: LCM of Numerators as per given numbers 1820/66, 6408/896 is

LCM of Numerators i.e. for 1820,6408 is 2915640

GCF of denominators i.e. for 66,896 is 2.

Thus, LCM of Fractions is 1457820.Finally, LCM of Fractions for 1820/66, 6408/896 is 1457820.