Least Common Multiple of 435/87, 458/20, 880/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/87, 458/20, 880/825 quickly i.e. 17532240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/87, 458/20, 880/825 is 17532240.

LCM(435/87, 458/20, 880/825) = 17532240

LCM of 435/87, 458/20, 880/825

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 435/87,458/20,880/825

Given numbers are 435/87,458/20,880/825

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 435,458,880

Least Common Multiple of Numerators i.e. LCM of 435,458,880 is 17532240.

GCF of Denominators means GCF of 87,20,825 as per the given fractions.

GCF of 87,20,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,458,880

LCM of Fractions 435/87,458/20,880/825 is 17532240

2 435, 458, 880
5 435, 229, 440
87, 229, 88

∴ So the LCM of the given numbers is 2 x 5 x 87 x 229 x 88 = 17532240

Least Common Multiple of 435,458,880 with GCF Formula

Least Common Multiple of 435,458,880 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 435,458,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,458,880) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(435,458,880) x common factors =1 x 10 = 10

LCM(435,458,880) = ( 435 × 458 × 880 ) / 10

LCM(435,458,880) = 175322400 / 10

LCM(435,458,880) = 17532240


Lets's calculate GCF of 87,20,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17532240/1

Therefore the LCM of Fractions 435/87,458/20,880/825 is 17532240

Greatest Common Factor of 87,20,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,20,825 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 87,20,825 . The biggest common factor number is the GCF number.
So the greatest common factor 87,20,825 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 435/87, 458/20, 880/825

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 435/87, 458/20, 880/825?

Answer: LCM of Numerators as per given numbers 435/87, 458/20, 880/825 is

LCM of Numerators i.e. for 435,458,880 is 17532240

GCF of denominators i.e. for 87,20,825 is 1.

Thus, LCM of Fractions is 17532240.Finally, LCM of Fractions for 435/87, 458/20, 880/825 is 17532240.