Least Common Multiple of 806/34, 8720/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 806/34, 8720/910 quickly i.e. 1757080 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, 8720/910 is 1757080.

LCM(806/34, 8720/910) = 1757080

LCM of 806/34, 8720/910

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 806/34,8720/910

Given numbers are 806/34,8720/910

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 806,8720

Least Common Multiple of Numerators i.e. LCM of 806,8720 is 3514160.

GCF of Denominators means GCF of 34,910 as per the given fractions.

GCF of 34,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,8720

LCM of Fractions 806/34,8720/910 is 1757080

2 806, 8720
403, 4360

∴ So the LCM of the given numbers is 2 x 403 x 4360 = 3514160

Least Common Multiple of 806,8720 with GCF Formula

Least Common Multiple of 806,8720 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 806,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,8720) = 2

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

GCF(806,8720) x common factors =2 x 1 = 2

LCM(806,8720) = ( 806 × 8720 ) / 2

LCM(806,8720) = 7028320 / 2

LCM(806,8720) = 3514160


Lets's calculate GCF of 34,910

2 34, 910
17, 455

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3514160/2

Therefore the LCM of Fractions 806/34,8720/910 is 1757080

Greatest Common Factor of 34,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,910 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 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 34,910 . The biggest common factor number is the GCF number.
So the greatest common factor 34,910 is 2.


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Frequently Asked Questions on Fractional LCM of 806/34, 8720/910

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, 8720/910?

Answer: LCM of Numerators as per given numbers 806/34, 8720/910 is

LCM of Numerators i.e. for 806,8720 is 3514160

GCF of denominators i.e. for 34,910 is 2.

Thus, LCM of Fractions is 1757080.Finally, LCM of Fractions for 806/34, 8720/910 is 1757080.