Least Common Multiple of 46/390, 97/300, 803/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/390, 97/300, 803/495 quickly i.e. 3582986/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/390, 97/300, 803/495 is 3582986/15.

LCM(46/390, 97/300, 803/495) = 3582986/15

LCM of 46/390, 97/300, 803/495

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 46/390,97/300,803/495

Given numbers are 46/390,97/300,803/495

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 46,97,803

Least Common Multiple of Numerators i.e. LCM of 46,97,803 is 3582986.

GCF of Denominators means GCF of 390,300,495 as per the given fractions.

GCF of 390,300,495 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,97,803

LCM of Fractions 46/390,97/300,803/495 is 3582986/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 3582986

Least Common Multiple of 46,97,803 with GCF Formula

Least Common Multiple of 46,97,803 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 46,97,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,97,803) = 1

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

GCF(46,97,803) x common factors =1 x 1 = 1

LCM(46,97,803) = ( 46 × 97 × 803 ) / 1

LCM(46,97,803) = 3582986 / 1

LCM(46,97,803) = 3582986


Lets's calculate GCF of 390,300,495

3 390, 300, 495
5 130, 100, 165
26, 20, 33

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3582986/15

Therefore the LCM of Fractions 46/390,97/300,803/495 is 3582986/15

Greatest Common Factor of 390,300,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,300,495 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 390,300,495 . The biggest common factor number is the GCF number.
So the greatest common factor 390,300,495 is 15.


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 46/390, 97/300, 803/495

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 46/390, 97/300, 803/495?

Answer: LCM of Numerators as per given numbers 46/390, 97/300, 803/495 is

LCM of Numerators i.e. for 46,97,803 is 3582986

GCF of denominators i.e. for 390,300,495 is 15.

Thus, LCM of Fractions is 3582986/15.Finally, LCM of Fractions for 46/390, 97/300, 803/495 is 3582986/15.