Least Common Multiple of 834/25, 674/22, 999/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 834/25, 674/22, 999/471 quickly i.e. 93592314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/25, 674/22, 999/471 is 93592314.

LCM(834/25, 674/22, 999/471) = 93592314

LCM of 834/25, 674/22, 999/471

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 834/25,674/22,999/471

Given numbers are 834/25,674/22,999/471

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 834,674,999

Least Common Multiple of Numerators i.e. LCM of 834,674,999 is 93592314.

GCF of Denominators means GCF of 25,22,471 as per the given fractions.

GCF of 25,22,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,674,999

LCM of Fractions 834/25,674/22,999/471 is 93592314

2 834, 674, 999
3 417, 337, 999
139, 337, 333

∴ So the LCM of the given numbers is 2 x 3 x 139 x 337 x 333 = 93592314

Least Common Multiple of 834,674,999 with GCF Formula

Least Common Multiple of 834,674,999 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 834,674,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,674,999) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(834,674,999) x common factors =1 x 6 = 6

LCM(834,674,999) = ( 834 × 674 × 999 ) / 6

LCM(834,674,999) = 561553884 / 6

LCM(834,674,999) = 93592314


Lets's calculate GCF of 25,22,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93592314/1

Therefore the LCM of Fractions 834/25,674/22,999/471 is 93592314

Greatest Common Factor of 25,22,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,22,471 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 25,22,471 . The biggest common factor number is the GCF number.
So the greatest common factor 25,22,471 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 834/25, 674/22, 999/471

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 834/25, 674/22, 999/471?

Answer: LCM of Numerators as per given numbers 834/25, 674/22, 999/471 is

LCM of Numerators i.e. for 834,674,999 is 93592314

GCF of denominators i.e. for 25,22,471 is 1.

Thus, LCM of Fractions is 93592314.Finally, LCM of Fractions for 834/25, 674/22, 999/471 is 93592314.