Least Common Multiple of 40/470, 826/430, 434/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/470, 826/430, 434/800 quickly i.e. 51212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/470, 826/430, 434/800 is 51212.

LCM(40/470, 826/430, 434/800) = 51212

LCM of 40/470, 826/430, 434/800

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 40/470,826/430,434/800

Given numbers are 40/470,826/430,434/800

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 40,826,434

Least Common Multiple of Numerators i.e. LCM of 40,826,434 is 512120.

GCF of Denominators means GCF of 470,430,800 as per the given fractions.

GCF of 470,430,800 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,826,434

LCM of Fractions 40/470,826/430,434/800 is 51212

2 40, 826, 434
7 20, 413, 217
20, 59, 31

∴ So the LCM of the given numbers is 2 x 7 x 20 x 59 x 31 = 512120

Least Common Multiple of 40,826,434 with GCF Formula

Least Common Multiple of 40,826,434 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 40,826,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,826,434) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(40,826,434) x common factors =2 x 14 = 28

LCM(40,826,434) = ( 40 × 826 × 434 ) / 28

LCM(40,826,434) = 14339360 / 28

LCM(40,826,434) = 512120


Lets's calculate GCF of 470,430,800

2 470, 430, 800
5 235, 215, 400
47, 43, 80

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 512120/10

Therefore the LCM of Fractions 40/470,826/430,434/800 is 51212

Greatest Common Factor of 470,430,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,430,800 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 470,430,800 . The biggest common factor number is the GCF number.
So the greatest common factor 470,430,800 is 10.


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 40/470, 826/430, 434/800

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 40/470, 826/430, 434/800?

Answer: LCM of Numerators as per given numbers 40/470, 826/430, 434/800 is

LCM of Numerators i.e. for 40,826,434 is 512120

GCF of denominators i.e. for 470,430,800 is 10.

Thus, LCM of Fractions is 51212.Finally, LCM of Fractions for 40/470, 826/430, 434/800 is 51212.