Least Common Multiple of 46/810, 528/614, 459/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/810, 528/614, 459/490 quickly i.e. 929016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/810, 528/614, 459/490 is 929016.

LCM(46/810, 528/614, 459/490) = 929016

LCM of 46/810, 528/614, 459/490

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 46/810,528/614,459/490

Given numbers are 46/810,528/614,459/490

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 46,528,459

Least Common Multiple of Numerators i.e. LCM of 46,528,459 is 1858032.

GCF of Denominators means GCF of 810,614,490 as per the given fractions.

GCF of 810,614,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,528,459

LCM of Fractions 46/810,528/614,459/490 is 929016

2 46, 528, 459
3 23, 264, 459
23, 88, 153

∴ So the LCM of the given numbers is 2 x 3 x 23 x 88 x 153 = 1858032

Least Common Multiple of 46,528,459 with GCF Formula

Least Common Multiple of 46,528,459 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 46,528,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,528,459) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(46,528,459) x common factors =1 x 6 = 6

LCM(46,528,459) = ( 46 × 528 × 459 ) / 6

LCM(46,528,459) = 11148192 / 6

LCM(46,528,459) = 1858032


Lets's calculate GCF of 810,614,490

2 810, 614, 490
405, 307, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1858032/2

Therefore the LCM of Fractions 46/810,528/614,459/490 is 929016

Greatest Common Factor of 810,614,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,614,490 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 810,614,490 . The biggest common factor number is the GCF number.
So the greatest common factor 810,614,490 is 2.


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 46/810, 528/614, 459/490

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 46/810, 528/614, 459/490?

Answer: LCM of Numerators as per given numbers 46/810, 528/614, 459/490 is

LCM of Numerators i.e. for 46,528,459 is 1858032

GCF of denominators i.e. for 810,614,490 is 2.

Thus, LCM of Fractions is 929016.Finally, LCM of Fractions for 46/810, 528/614, 459/490 is 929016.