Least Common Multiple of 46/720, 858/558, 739/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/720, 858/558, 739/276 quickly i.e. 2430571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/720, 858/558, 739/276 is 2430571.

LCM(46/720, 858/558, 739/276) = 2430571

LCM of 46/720, 858/558, 739/276

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 46/720,858/558,739/276

Given numbers are 46/720,858/558,739/276

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 46,858,739

Least Common Multiple of Numerators i.e. LCM of 46,858,739 is 14583426.

GCF of Denominators means GCF of 720,558,276 as per the given fractions.

GCF of 720,558,276 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,858,739

LCM of Fractions 46/720,858/558,739/276 is 2430571

2 46, 858, 739
23, 429, 739

∴ So the LCM of the given numbers is 2 x 23 x 429 x 739 = 14583426

Least Common Multiple of 46,858,739 with GCF Formula

Least Common Multiple of 46,858,739 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 46,858,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,858,739) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,858,739) x common factors =1 x 2 = 2

LCM(46,858,739) = ( 46 × 858 × 739 ) / 2

LCM(46,858,739) = 29166852 / 2

LCM(46,858,739) = 14583426


Lets's calculate GCF of 720,558,276

2 720, 558, 276
3 360, 279, 138
120, 93, 46

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14583426/6

Therefore the LCM of Fractions 46/720,858/558,739/276 is 2430571

Greatest Common Factor of 720,558,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,558,276 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 720,558,276 . The biggest common factor number is the GCF number.
So the greatest common factor 720,558,276 is 6.


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 46/720, 858/558, 739/276

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 46/720, 858/558, 739/276?

Answer: LCM of Numerators as per given numbers 46/720, 858/558, 739/276 is

LCM of Numerators i.e. for 46,858,739 is 14583426

GCF of denominators i.e. for 720,558,276 is 6.

Thus, LCM of Fractions is 2430571.Finally, LCM of Fractions for 46/720, 858/558, 739/276 is 2430571.