Least Common Multiple of 87/834, 89/360, 635/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/834, 89/360, 635/892 quickly i.e. 4916805/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/834, 89/360, 635/892 is 4916805/2.

LCM(87/834, 89/360, 635/892) = 4916805/2

LCM of 87/834, 89/360, 635/892

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 87/834,89/360,635/892

Given numbers are 87/834,89/360,635/892

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 87,89,635

Least Common Multiple of Numerators i.e. LCM of 87,89,635 is 4916805.

GCF of Denominators means GCF of 834,360,892 as per the given fractions.

GCF of 834,360,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,89,635

LCM of Fractions 87/834,89/360,635/892 is 4916805/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4916805

Least Common Multiple of 87,89,635 with GCF Formula

Least Common Multiple of 87,89,635 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 87,89,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,89,635) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,89,635) x common factors =1 x 1 = 1

LCM(87,89,635) = ( 87 × 89 × 635 ) / 1

LCM(87,89,635) = 4916805 / 1

LCM(87,89,635) = 4916805


Lets's calculate GCF of 834,360,892

2 834, 360, 892
417, 180, 446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4916805/2

Therefore the LCM of Fractions 87/834,89/360,635/892 is 4916805/2

Greatest Common Factor of 834,360,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,360,892 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 834,360,892 . The biggest common factor number is the GCF number.
So the greatest common factor 834,360,892 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 87/834, 89/360, 635/892

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 87/834, 89/360, 635/892?

Answer: LCM of Numerators as per given numbers 87/834, 89/360, 635/892 is

LCM of Numerators i.e. for 87,89,635 is 4916805

GCF of denominators i.e. for 834,360,892 is 2.

Thus, LCM of Fractions is 4916805/2.Finally, LCM of Fractions for 87/834, 89/360, 635/892 is 4916805/2.