Least Common Multiple of 30/54, 825/56, 385/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/54, 825/56, 385/761 quickly i.e. 11550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/54, 825/56, 385/761 is 11550.

LCM(30/54, 825/56, 385/761) = 11550

LCM of 30/54, 825/56, 385/761

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 30/54,825/56,385/761

Given numbers are 30/54,825/56,385/761

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 30,825,385

Least Common Multiple of Numerators i.e. LCM of 30,825,385 is 11550.

GCF of Denominators means GCF of 54,56,761 as per the given fractions.

GCF of 54,56,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,825,385

LCM of Fractions 30/54,825/56,385/761 is 11550

3 30, 825, 385
5 10, 275, 385
11 2, 55, 77
2, 5, 7

∴ So the LCM of the given numbers is 3 x 5 x 11 x 2 x 5 x 7 = 11550

Least Common Multiple of 30,825,385 with GCF Formula

Least Common Multiple of 30,825,385 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 30,825,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,825,385) = 5

common factors(in case of two or more numbers have common factors) = 165

GCF(30,825,385) x common factors =5 x 165 = 825

LCM(30,825,385) = ( 30 × 825 × 385 ) / 825

LCM(30,825,385) = 9528750 / 825

LCM(30,825,385) = 11550


Lets's calculate GCF of 54,56,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11550/1

Therefore the LCM of Fractions 30/54,825/56,385/761 is 11550

Greatest Common Factor of 54,56,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,56,761 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 54,56,761 . The biggest common factor number is the GCF number.
So the greatest common factor 54,56,761 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 30/54, 825/56, 385/761

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 30/54, 825/56, 385/761?

Answer: LCM of Numerators as per given numbers 30/54, 825/56, 385/761 is

LCM of Numerators i.e. for 30,825,385 is 11550

GCF of denominators i.e. for 54,56,761 is 1.

Thus, LCM of Fractions is 11550.Finally, LCM of Fractions for 30/54, 825/56, 385/761 is 11550.