Least Common Multiple of 842/20, 846/59, 705/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/20, 846/59, 705/400 quickly i.e. 1780830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/20, 846/59, 705/400 is 1780830.

LCM(842/20, 846/59, 705/400) = 1780830

LCM of 842/20, 846/59, 705/400

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 842/20,846/59,705/400

Given numbers are 842/20,846/59,705/400

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 842,846,705

Least Common Multiple of Numerators i.e. LCM of 842,846,705 is 1780830.

GCF of Denominators means GCF of 20,59,400 as per the given fractions.

GCF of 20,59,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,846,705

LCM of Fractions 842/20,846/59,705/400 is 1780830

2 842, 846, 705
3 421, 423, 705
47 421, 141, 235
421, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 47 x 421 x 3 x 5 = 1780830

Least Common Multiple of 842,846,705 with GCF Formula

Least Common Multiple of 842,846,705 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 842,846,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,846,705) = 1

common factors(in case of two or more numbers have common factors) = 282

GCF(842,846,705) x common factors =1 x 282 = 282

LCM(842,846,705) = ( 842 × 846 × 705 ) / 282

LCM(842,846,705) = 502194060 / 282

LCM(842,846,705) = 1780830


Lets's calculate GCF of 20,59,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1780830/1

Therefore the LCM of Fractions 842/20,846/59,705/400 is 1780830

Greatest Common Factor of 20,59,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,59,400 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

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

Greatest Common Factor

We found the factors 20,59,400 . The biggest common factor number is the GCF number.
So the greatest common factor 20,59,400 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 842/20, 846/59, 705/400

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 842/20, 846/59, 705/400?

Answer: LCM of Numerators as per given numbers 842/20, 846/59, 705/400 is

LCM of Numerators i.e. for 842,846,705 is 1780830

GCF of denominators i.e. for 20,59,400 is 1.

Thus, LCM of Fractions is 1780830.Finally, LCM of Fractions for 842/20, 846/59, 705/400 is 1780830.