Least Common Multiple of 806/34, 987/52, 904/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 806/34, 987/52, 904/197 quickly i.e. 359575944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/34, 987/52, 904/197 is 359575944.

LCM(806/34, 987/52, 904/197) = 359575944

LCM of 806/34, 987/52, 904/197

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 806/34,987/52,904/197

Given numbers are 806/34,987/52,904/197

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 806,987,904

Least Common Multiple of Numerators i.e. LCM of 806,987,904 is 359575944.

GCF of Denominators means GCF of 34,52,197 as per the given fractions.

GCF of 34,52,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,987,904

LCM of Fractions 806/34,987/52,904/197 is 359575944

2 806, 987, 904
403, 987, 452

∴ So the LCM of the given numbers is 2 x 403 x 987 x 452 = 359575944

Least Common Multiple of 806,987,904 with GCF Formula

Least Common Multiple of 806,987,904 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 806,987,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,987,904) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(806,987,904) x common factors =1 x 2 = 2

LCM(806,987,904) = ( 806 × 987 × 904 ) / 2

LCM(806,987,904) = 719151888 / 2

LCM(806,987,904) = 359575944


Lets's calculate GCF of 34,52,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359575944/1

Therefore the LCM of Fractions 806/34,987/52,904/197 is 359575944

Greatest Common Factor of 34,52,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,52,197 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 34,52,197 . The biggest common factor number is the GCF number.
So the greatest common factor 34,52,197 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 806/34, 987/52, 904/197

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 806/34, 987/52, 904/197?

Answer: LCM of Numerators as per given numbers 806/34, 987/52, 904/197 is

LCM of Numerators i.e. for 806,987,904 is 359575944

GCF of denominators i.e. for 34,52,197 is 1.

Thus, LCM of Fractions is 359575944.Finally, LCM of Fractions for 806/34, 987/52, 904/197 is 359575944.