Least Common Multiple of 53/930, 75/456, 711/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/930, 75/456, 711/405 quickly i.e. 314025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/930, 75/456, 711/405 is 314025.

LCM(53/930, 75/456, 711/405) = 314025

LCM of 53/930, 75/456, 711/405

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 53/930,75/456,711/405

Given numbers are 53/930,75/456,711/405

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 53,75,711

Least Common Multiple of Numerators i.e. LCM of 53,75,711 is 942075.

GCF of Denominators means GCF of 930,456,405 as per the given fractions.

GCF of 930,456,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,75,711

LCM of Fractions 53/930,75/456,711/405 is 314025

3 53, 75, 711
53, 25, 237

∴ So the LCM of the given numbers is 3 x 53 x 25 x 237 = 942075

Least Common Multiple of 53,75,711 with GCF Formula

Least Common Multiple of 53,75,711 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 53,75,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,75,711) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(53,75,711) x common factors =1 x 3 = 3

LCM(53,75,711) = ( 53 × 75 × 711 ) / 3

LCM(53,75,711) = 2826225 / 3

LCM(53,75,711) = 942075


Lets's calculate GCF of 930,456,405

3 930, 456, 405
310, 152, 135

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 942075/3

Therefore the LCM of Fractions 53/930,75/456,711/405 is 314025

Greatest Common Factor of 930,456,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,456,405 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 930,456,405 . The biggest common factor number is the GCF number.
So the greatest common factor 930,456,405 is 3.


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 53/930, 75/456, 711/405

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 53/930, 75/456, 711/405?

Answer: LCM of Numerators as per given numbers 53/930, 75/456, 711/405 is

LCM of Numerators i.e. for 53,75,711 is 942075

GCF of denominators i.e. for 930,456,405 is 3.

Thus, LCM of Fractions is 314025.Finally, LCM of Fractions for 53/930, 75/456, 711/405 is 314025.