Least Common Multiple of 46/385, 902/452, 423/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/385, 902/452, 423/965 quickly i.e. 8775558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/385, 902/452, 423/965 is 8775558.

LCM(46/385, 902/452, 423/965) = 8775558

LCM of 46/385, 902/452, 423/965

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 46/385,902/452,423/965

Given numbers are 46/385,902/452,423/965

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 46,902,423

Least Common Multiple of Numerators i.e. LCM of 46,902,423 is 8775558.

GCF of Denominators means GCF of 385,452,965 as per the given fractions.

GCF of 385,452,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,902,423

LCM of Fractions 46/385,902/452,423/965 is 8775558

2 46, 902, 423
23, 451, 423

∴ So the LCM of the given numbers is 2 x 23 x 451 x 423 = 8775558

Least Common Multiple of 46,902,423 with GCF Formula

Least Common Multiple of 46,902,423 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 46,902,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,902,423) = 1

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

GCF(46,902,423) x common factors =1 x 2 = 2

LCM(46,902,423) = ( 46 × 902 × 423 ) / 2

LCM(46,902,423) = 17551116 / 2

LCM(46,902,423) = 8775558


Lets's calculate GCF of 385,452,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8775558/1

Therefore the LCM of Fractions 46/385,902/452,423/965 is 8775558

Greatest Common Factor of 385,452,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,452,965 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 385,452,965 . The biggest common factor number is the GCF number.
So the greatest common factor 385,452,965 is 1.


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 46/385, 902/452, 423/965

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 46/385, 902/452, 423/965?

Answer: LCM of Numerators as per given numbers 46/385, 902/452, 423/965 is

LCM of Numerators i.e. for 46,902,423 is 8775558

GCF of denominators i.e. for 385,452,965 is 1.

Thus, LCM of Fractions is 8775558.Finally, LCM of Fractions for 46/385, 902/452, 423/965 is 8775558.