Least Common Multiple of 852/23, 141/14, 755/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/23, 141/14, 755/506 quickly i.e. 30233220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/23, 141/14, 755/506 is 30233220.

LCM(852/23, 141/14, 755/506) = 30233220

LCM of 852/23, 141/14, 755/506

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 852/23,141/14,755/506

Given numbers are 852/23,141/14,755/506

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 852,141,755

Least Common Multiple of Numerators i.e. LCM of 852,141,755 is 30233220.

GCF of Denominators means GCF of 23,14,506 as per the given fractions.

GCF of 23,14,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,141,755

LCM of Fractions 852/23,141/14,755/506 is 30233220

3 852, 141, 755
284, 47, 755

∴ So the LCM of the given numbers is 3 x 284 x 47 x 755 = 30233220

Least Common Multiple of 852,141,755 with GCF Formula

Least Common Multiple of 852,141,755 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 852,141,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,141,755) = 1

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

GCF(852,141,755) x common factors =1 x 3 = 3

LCM(852,141,755) = ( 852 × 141 × 755 ) / 3

LCM(852,141,755) = 90699660 / 3

LCM(852,141,755) = 30233220


Lets's calculate GCF of 23,14,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30233220/1

Therefore the LCM of Fractions 852/23,141/14,755/506 is 30233220

Greatest Common Factor of 23,14,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,14,506 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 23,14,506 . The biggest common factor number is the GCF number.
So the greatest common factor 23,14,506 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 852/23, 141/14, 755/506

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 852/23, 141/14, 755/506?

Answer: LCM of Numerators as per given numbers 852/23, 141/14, 755/506 is

LCM of Numerators i.e. for 852,141,755 is 30233220

GCF of denominators i.e. for 23,14,506 is 1.

Thus, LCM of Fractions is 30233220.Finally, LCM of Fractions for 852/23, 141/14, 755/506 is 30233220.