Least Common Multiple of 46/56, 55/80, 451/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/56, 55/80, 451/304 quickly i.e. 103730/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/56, 55/80, 451/304 is 103730/8.

LCM(46/56, 55/80, 451/304) = 103730/8

LCM of 46/56, 55/80, 451/304

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 46/56,55/80,451/304

Given numbers are 46/56,55/80,451/304

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 46,55,451

Least Common Multiple of Numerators i.e. LCM of 46,55,451 is 103730.

GCF of Denominators means GCF of 56,80,304 as per the given fractions.

GCF of 56,80,304 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,55,451

LCM of Fractions 46/56,55/80,451/304 is 103730/8

11 46, 55, 451
46, 5, 41

∴ So the LCM of the given numbers is 11 x 46 x 5 x 41 = 103730

Least Common Multiple of 46,55,451 with GCF Formula

Least Common Multiple of 46,55,451 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 46,55,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,55,451) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(46,55,451) x common factors =1 x 11 = 11

LCM(46,55,451) = ( 46 × 55 × 451 ) / 11

LCM(46,55,451) = 1141030 / 11

LCM(46,55,451) = 103730


Lets's calculate GCF of 56,80,304

2 56, 80, 304
2 28, 40, 152
2 14, 20, 76
7, 10, 38

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103730/8

Therefore the LCM of Fractions 46/56,55/80,451/304 is 103730/8

Greatest Common Factor of 56,80,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,80,304 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 56,80,304 . The biggest common factor number is the GCF number.
So the greatest common factor 56,80,304 is 8.


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 46/56, 55/80, 451/304

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 46/56, 55/80, 451/304?

Answer: LCM of Numerators as per given numbers 46/56, 55/80, 451/304 is

LCM of Numerators i.e. for 46,55,451 is 103730

GCF of denominators i.e. for 56,80,304 is 8.

Thus, LCM of Fractions is 103730/8.Finally, LCM of Fractions for 46/56, 55/80, 451/304 is 103730/8.