Least Common Multiple of 85/634, 97/526, 865/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/634, 97/526, 865/449 quickly i.e. 1426385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/634, 97/526, 865/449 is 1426385.

LCM(85/634, 97/526, 865/449) = 1426385

LCM of 85/634, 97/526, 865/449

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 85/634,97/526,865/449

Given numbers are 85/634,97/526,865/449

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 85,97,865

Least Common Multiple of Numerators i.e. LCM of 85,97,865 is 1426385.

GCF of Denominators means GCF of 634,526,449 as per the given fractions.

GCF of 634,526,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,97,865

LCM of Fractions 85/634,97/526,865/449 is 1426385

5 85, 97, 865
17, 97, 173

∴ So the LCM of the given numbers is 5 x 17 x 97 x 173 = 1426385

Least Common Multiple of 85,97,865 with GCF Formula

Least Common Multiple of 85,97,865 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 85,97,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,97,865) = 1

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

GCF(85,97,865) x common factors =1 x 5 = 5

LCM(85,97,865) = ( 85 × 97 × 865 ) / 5

LCM(85,97,865) = 7131925 / 5

LCM(85,97,865) = 1426385


Lets's calculate GCF of 634,526,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1426385/1

Therefore the LCM of Fractions 85/634,97/526,865/449 is 1426385

Greatest Common Factor of 634,526,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,526,449 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 634,526,449 . The biggest common factor number is the GCF number.
So the greatest common factor 634,526,449 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 85/634, 97/526, 865/449

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 85/634, 97/526, 865/449?

Answer: LCM of Numerators as per given numbers 85/634, 97/526, 865/449 is

LCM of Numerators i.e. for 85,97,865 is 1426385

GCF of denominators i.e. for 634,526,449 is 1.

Thus, LCM of Fractions is 1426385.Finally, LCM of Fractions for 85/634, 97/526, 865/449 is 1426385.