Least Common Multiple of 3146/832, 4160/6461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3146/832, 4160/6461 quickly i.e. 38720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3146/832, 4160/6461 is 38720.

LCM(3146/832, 4160/6461) = 38720

LCM of 3146/832, 4160/6461

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 3146/832,4160/6461

Given numbers are 3146/832,4160/6461

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 3146,4160

Least Common Multiple of Numerators i.e. LCM of 3146,4160 is 503360.

GCF of Denominators means GCF of 832,6461 as per the given fractions.

GCF of 832,6461 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3146,4160

LCM of Fractions 3146/832,4160/6461 is 38720

2 3146, 4160
13 1573, 2080
121, 160

∴ So the LCM of the given numbers is 2 x 13 x 121 x 160 = 503360

Least Common Multiple of 3146,4160 with GCF Formula

Least Common Multiple of 3146,4160 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 3146,4160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3146,4160) = 26

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

GCF(3146,4160) x common factors =26 x 1 = 26

LCM(3146,4160) = ( 3146 × 4160 ) / 26

LCM(3146,4160) = 13087360 / 26

LCM(3146,4160) = 503360


Lets's calculate GCF of 832,6461

13 832, 6461
64, 497

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503360/13

Therefore the LCM of Fractions 3146/832,4160/6461 is 38720

Greatest Common Factor of 832,6461 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,6461 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 6461

List of positive integer factors of 6461 that divides 6461 without a remainder.

1,7,13,71,91,497,923,6461

Greatest Common Factor

We found the factors 832,6461 . The biggest common factor number is the GCF number.
So the greatest common factor 832,6461 is 13.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3146/832, 4160/6461

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 3146/832, 4160/6461?

Answer: LCM of Numerators as per given numbers 3146/832, 4160/6461 is

LCM of Numerators i.e. for 3146,4160 is 503360

GCF of denominators i.e. for 832,6461 is 13.

Thus, LCM of Fractions is 38720.Finally, LCM of Fractions for 3146/832, 4160/6461 is 38720.