Least Common Multiple of 410/843, 5835/2948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 410/843, 5835/2948 quickly i.e. 478470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/843, 5835/2948 is 478470.

LCM(410/843, 5835/2948) = 478470

LCM of 410/843, 5835/2948

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 410/843,5835/2948

Given numbers are 410/843,5835/2948

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 410,5835

Least Common Multiple of Numerators i.e. LCM of 410,5835 is 478470.

GCF of Denominators means GCF of 843,2948 as per the given fractions.

GCF of 843,2948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,5835

LCM of Fractions 410/843,5835/2948 is 478470

5 410, 5835
82, 1167

∴ So the LCM of the given numbers is 5 x 82 x 1167 = 478470

Least Common Multiple of 410,5835 with GCF Formula

Least Common Multiple of 410,5835 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 410,5835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,5835) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(410,5835) x common factors =5 x 1 = 5

LCM(410,5835) = ( 410 × 5835 ) / 5

LCM(410,5835) = 2392350 / 5

LCM(410,5835) = 478470


Lets's calculate GCF of 843,2948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478470/1

Therefore the LCM of Fractions 410/843,5835/2948 is 478470

Greatest Common Factor of 843,2948 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,2948 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 2948

List of positive integer factors of 2948 that divides 2948 without a remainder.

1,2,4,11,22,44,67,134,268,737,1474,2948

Greatest Common Factor

We found the factors 843,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 843,2948 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 410/843, 5835/2948

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 410/843, 5835/2948?

Answer: LCM of Numerators as per given numbers 410/843, 5835/2948 is

LCM of Numerators i.e. for 410,5835 is 478470

GCF of denominators i.e. for 843,2948 is 1.

Thus, LCM of Fractions is 478470.Finally, LCM of Fractions for 410/843, 5835/2948 is 478470.