Least Common Multiple of 470/86, 892/75, 400/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/86, 892/75, 400/870 quickly i.e. 4192400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/86, 892/75, 400/870 is 4192400.

LCM(470/86, 892/75, 400/870) = 4192400

LCM of 470/86, 892/75, 400/870

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 470/86,892/75,400/870

Given numbers are 470/86,892/75,400/870

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 470,892,400

Least Common Multiple of Numerators i.e. LCM of 470,892,400 is 4192400.

GCF of Denominators means GCF of 86,75,870 as per the given fractions.

GCF of 86,75,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,892,400

LCM of Fractions 470/86,892/75,400/870 is 4192400

2 470, 892, 400
2 235, 446, 200
5 235, 223, 100
47, 223, 20

∴ So the LCM of the given numbers is 2 x 2 x 5 x 47 x 223 x 20 = 4192400

Least Common Multiple of 470,892,400 with GCF Formula

Least Common Multiple of 470,892,400 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 470,892,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,892,400) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(470,892,400) x common factors =2 x 20 = 40

LCM(470,892,400) = ( 470 × 892 × 400 ) / 40

LCM(470,892,400) = 167696000 / 40

LCM(470,892,400) = 4192400


Lets's calculate GCF of 86,75,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4192400/1

Therefore the LCM of Fractions 470/86,892/75,400/870 is 4192400

Greatest Common Factor of 86,75,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,75,870 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 86,75,870 . The biggest common factor number is the GCF number.
So the greatest common factor 86,75,870 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 470/86, 892/75, 400/870

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 470/86, 892/75, 400/870?

Answer: LCM of Numerators as per given numbers 470/86, 892/75, 400/870 is

LCM of Numerators i.e. for 470,892,400 is 4192400

GCF of denominators i.e. for 86,75,870 is 1.

Thus, LCM of Fractions is 4192400.Finally, LCM of Fractions for 470/86, 892/75, 400/870 is 4192400.