Least Common Multiple of 45/265, 85/685, 811/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/265, 85/685, 811/971 quickly i.e. 620415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/265, 85/685, 811/971 is 620415.

LCM(45/265, 85/685, 811/971) = 620415

LCM of 45/265, 85/685, 811/971

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 45/265,85/685,811/971

Given numbers are 45/265,85/685,811/971

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 45,85,811

Least Common Multiple of Numerators i.e. LCM of 45,85,811 is 620415.

GCF of Denominators means GCF of 265,685,971 as per the given fractions.

GCF of 265,685,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,85,811

LCM of Fractions 45/265,85/685,811/971 is 620415

5 45, 85, 811
9, 17, 811

∴ So the LCM of the given numbers is 5 x 9 x 17 x 811 = 620415

Least Common Multiple of 45,85,811 with GCF Formula

Least Common Multiple of 45,85,811 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 45,85,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,85,811) = 1

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

GCF(45,85,811) x common factors =1 x 5 = 5

LCM(45,85,811) = ( 45 × 85 × 811 ) / 5

LCM(45,85,811) = 3102075 / 5

LCM(45,85,811) = 620415


Lets's calculate GCF of 265,685,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620415/1

Therefore the LCM of Fractions 45/265,85/685,811/971 is 620415

Greatest Common Factor of 265,685,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,685,971 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 265,685,971 . The biggest common factor number is the GCF number.
So the greatest common factor 265,685,971 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 45/265, 85/685, 811/971

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 45/265, 85/685, 811/971?

Answer: LCM of Numerators as per given numbers 45/265, 85/685, 811/971 is

LCM of Numerators i.e. for 45,85,811 is 620415

GCF of denominators i.e. for 265,685,971 is 1.

Thus, LCM of Fractions is 620415.Finally, LCM of Fractions for 45/265, 85/685, 811/971 is 620415.