Least Common Multiple of 45/86, 52/820, 755/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/86, 52/820, 755/746 quickly i.e. 176670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/86, 52/820, 755/746 is 176670.

LCM(45/86, 52/820, 755/746) = 176670

LCM of 45/86, 52/820, 755/746

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 45/86,52/820,755/746

Given numbers are 45/86,52/820,755/746

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 45,52,755

Least Common Multiple of Numerators i.e. LCM of 45,52,755 is 353340.

GCF of Denominators means GCF of 86,820,746 as per the given fractions.

GCF of 86,820,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,52,755

LCM of Fractions 45/86,52/820,755/746 is 176670

5 45, 52, 755
9, 52, 151

∴ So the LCM of the given numbers is 5 x 9 x 52 x 151 = 353340

Least Common Multiple of 45,52,755 with GCF Formula

Least Common Multiple of 45,52,755 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 45,52,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,52,755) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,52,755) x common factors =1 x 5 = 5

LCM(45,52,755) = ( 45 × 52 × 755 ) / 5

LCM(45,52,755) = 1766700 / 5

LCM(45,52,755) = 353340


Lets's calculate GCF of 86,820,746

2 86, 820, 746
43, 410, 373

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353340/2

Therefore the LCM of Fractions 45/86,52/820,755/746 is 176670

Greatest Common Factor of 86,820,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,820,746 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 86,820,746 . The biggest common factor number is the GCF number.
So the greatest common factor 86,820,746 is 2.


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 45/86, 52/820, 755/746

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 45/86, 52/820, 755/746?

Answer: LCM of Numerators as per given numbers 45/86, 52/820, 755/746 is

LCM of Numerators i.e. for 45,52,755 is 353340

GCF of denominators i.e. for 86,820,746 is 2.

Thus, LCM of Fractions is 176670.Finally, LCM of Fractions for 45/86, 52/820, 755/746 is 176670.