Least Common Multiple of 46/265, 40/996, 116/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/265, 40/996, 116/646 quickly i.e. 26680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/265, 40/996, 116/646 is 26680.

LCM(46/265, 40/996, 116/646) = 26680

LCM of 46/265, 40/996, 116/646

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 46/265,40/996,116/646

Given numbers are 46/265,40/996,116/646

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 46,40,116

Least Common Multiple of Numerators i.e. LCM of 46,40,116 is 26680.

GCF of Denominators means GCF of 265,996,646 as per the given fractions.

GCF of 265,996,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,40,116

LCM of Fractions 46/265,40/996,116/646 is 26680

2 46, 40, 116
2 23, 20, 58
23, 10, 29

∴ So the LCM of the given numbers is 2 x 2 x 23 x 10 x 29 = 26680

Least Common Multiple of 46,40,116 with GCF Formula

Least Common Multiple of 46,40,116 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 46,40,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,40,116) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(46,40,116) x common factors =2 x 4 = 8

LCM(46,40,116) = ( 46 × 40 × 116 ) / 8

LCM(46,40,116) = 213440 / 8

LCM(46,40,116) = 26680


Lets's calculate GCF of 265,996,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26680/1

Therefore the LCM of Fractions 46/265,40/996,116/646 is 26680

Greatest Common Factor of 265,996,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,996,646 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 265,996,646 . The biggest common factor number is the GCF number.
So the greatest common factor 265,996,646 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/265, 40/996, 116/646

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 46/265, 40/996, 116/646?

Answer: LCM of Numerators as per given numbers 46/265, 40/996, 116/646 is

LCM of Numerators i.e. for 46,40,116 is 26680

GCF of denominators i.e. for 265,996,646 is 1.

Thus, LCM of Fractions is 26680.Finally, LCM of Fractions for 46/265, 40/996, 116/646 is 26680.