Least Common Multiple of 87/454, 172/913, 400/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/454, 172/913, 400/585 quickly i.e. 1496400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/454, 172/913, 400/585 is 1496400.

LCM(87/454, 172/913, 400/585) = 1496400

LCM of 87/454, 172/913, 400/585

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 87/454,172/913,400/585

Given numbers are 87/454,172/913,400/585

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 87,172,400

Least Common Multiple of Numerators i.e. LCM of 87,172,400 is 1496400.

GCF of Denominators means GCF of 454,913,585 as per the given fractions.

GCF of 454,913,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,172,400

LCM of Fractions 87/454,172/913,400/585 is 1496400

2 87, 172, 400
2 87, 86, 200
87, 43, 100

∴ So the LCM of the given numbers is 2 x 2 x 87 x 43 x 100 = 1496400

Least Common Multiple of 87,172,400 with GCF Formula

Least Common Multiple of 87,172,400 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 87,172,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,172,400) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(87,172,400) x common factors =1 x 4 = 4

LCM(87,172,400) = ( 87 × 172 × 400 ) / 4

LCM(87,172,400) = 5985600 / 4

LCM(87,172,400) = 1496400


Lets's calculate GCF of 454,913,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1496400/1

Therefore the LCM of Fractions 87/454,172/913,400/585 is 1496400

Greatest Common Factor of 454,913,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,913,585 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 454,913,585 . The biggest common factor number is the GCF number.
So the greatest common factor 454,913,585 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 87/454, 172/913, 400/585

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 87/454, 172/913, 400/585?

Answer: LCM of Numerators as per given numbers 87/454, 172/913, 400/585 is

LCM of Numerators i.e. for 87,172,400 is 1496400

GCF of denominators i.e. for 454,913,585 is 1.

Thus, LCM of Fractions is 1496400.Finally, LCM of Fractions for 87/454, 172/913, 400/585 is 1496400.