Least Common Multiple of 828/705, 5406/9784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/705, 5406/9784 quickly i.e. 746028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/705, 5406/9784 is 746028.

LCM(828/705, 5406/9784) = 746028

LCM of 828/705, 5406/9784

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 828/705,5406/9784

Given numbers are 828/705,5406/9784

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 828,5406

Least Common Multiple of Numerators i.e. LCM of 828,5406 is 746028.

GCF of Denominators means GCF of 705,9784 as per the given fractions.

GCF of 705,9784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,5406

LCM of Fractions 828/705,5406/9784 is 746028

2 828, 5406
3 414, 2703
138, 901

∴ So the LCM of the given numbers is 2 x 3 x 138 x 901 = 746028

Least Common Multiple of 828,5406 with GCF Formula

Least Common Multiple of 828,5406 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 828,5406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,5406) = 6

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

GCF(828,5406) x common factors =6 x 1 = 6

LCM(828,5406) = ( 828 × 5406 ) / 6

LCM(828,5406) = 4476168 / 6

LCM(828,5406) = 746028


Lets's calculate GCF of 705,9784

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 746028/1

Therefore the LCM of Fractions 828/705,5406/9784 is 746028

Greatest Common Factor of 705,9784 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,9784 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 9784

List of positive integer factors of 9784 that divides 9784 without a remainder.

1,2,4,8,1223,2446,4892,9784

Greatest Common Factor

We found the factors 705,9784 . The biggest common factor number is the GCF number.
So the greatest common factor 705,9784 is 1.


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 828/705, 5406/9784

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 828/705, 5406/9784?

Answer: LCM of Numerators as per given numbers 828/705, 5406/9784 is

LCM of Numerators i.e. for 828,5406 is 746028

GCF of denominators i.e. for 705,9784 is 1.

Thus, LCM of Fractions is 746028.Finally, LCM of Fractions for 828/705, 5406/9784 is 746028.