Least Common Multiple of 53/730, 7827/3450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/730, 7827/3450 quickly i.e. 414831/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/730, 7827/3450 is 414831/10.

LCM(53/730, 7827/3450) = 414831/10

LCM of 53/730, 7827/3450

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 53/730,7827/3450

Given numbers are 53/730,7827/3450

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 53,7827

Least Common Multiple of Numerators i.e. LCM of 53,7827 is 414831.

GCF of Denominators means GCF of 730,3450 as per the given fractions.

GCF of 730,3450 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,7827

LCM of Fractions 53/730,7827/3450 is 414831/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 414831

Least Common Multiple of 53,7827 with GCF Formula

Least Common Multiple of 53,7827 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 53,7827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,7827) = 1

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

GCF(53,7827) x common factors =1 x 1 = 1

LCM(53,7827) = ( 53 × 7827 ) / 1

LCM(53,7827) = 414831 / 1

LCM(53,7827) = 414831


Lets's calculate GCF of 730,3450

2 730, 3450
5 365, 1725
73, 345

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414831/10

Therefore the LCM of Fractions 53/730,7827/3450 is 414831/10

Greatest Common Factor of 730,3450 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,3450 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450

Greatest Common Factor

We found the factors 730,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 730,3450 is 10.


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 53/730, 7827/3450

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 53/730, 7827/3450?

Answer: LCM of Numerators as per given numbers 53/730, 7827/3450 is

LCM of Numerators i.e. for 53,7827 is 414831

GCF of denominators i.e. for 730,3450 is 10.

Thus, LCM of Fractions is 414831/10.Finally, LCM of Fractions for 53/730, 7827/3450 is 414831/10.