Least Common Multiple of 9505/46, 1730/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9505/46, 1730/856 quickly i.e. 1644365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9505/46, 1730/856 is 1644365.

LCM(9505/46, 1730/856) = 1644365

LCM of 9505/46, 1730/856

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 9505/46,1730/856

Given numbers are 9505/46,1730/856

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 9505,1730

Least Common Multiple of Numerators i.e. LCM of 9505,1730 is 3288730.

GCF of Denominators means GCF of 46,856 as per the given fractions.

GCF of 46,856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9505,1730

LCM of Fractions 9505/46,1730/856 is 1644365

5 9505, 1730
1901, 346

∴ So the LCM of the given numbers is 5 x 1901 x 346 = 3288730

Least Common Multiple of 9505,1730 with GCF Formula

Least Common Multiple of 9505,1730 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 9505,1730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9505,1730) = 5

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

GCF(9505,1730) x common factors =5 x 1 = 5

LCM(9505,1730) = ( 9505 × 1730 ) / 5

LCM(9505,1730) = 16443650 / 5

LCM(9505,1730) = 3288730


Lets's calculate GCF of 46,856

2 46, 856
23, 428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3288730/2

Therefore the LCM of Fractions 9505/46,1730/856 is 1644365

Greatest Common Factor of 46,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,856 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 46,856 . The biggest common factor number is the GCF number.
So the greatest common factor 46,856 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9505/46, 1730/856

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 9505/46, 1730/856?

Answer: LCM of Numerators as per given numbers 9505/46, 1730/856 is

LCM of Numerators i.e. for 9505,1730 is 3288730

GCF of denominators i.e. for 46,856 is 2.

Thus, LCM of Fractions is 1644365.Finally, LCM of Fractions for 9505/46, 1730/856 is 1644365.