Least Common Multiple of 296/85, 788/18, 440/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/85, 788/18, 440/46 quickly i.e. 3207160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/85, 788/18, 440/46 is 3207160.

LCM(296/85, 788/18, 440/46) = 3207160

LCM of 296/85, 788/18, 440/46

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 296/85,788/18,440/46

Given numbers are 296/85,788/18,440/46

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 296,788,440

Least Common Multiple of Numerators i.e. LCM of 296,788,440 is 3207160.

GCF of Denominators means GCF of 85,18,46 as per the given fractions.

GCF of 85,18,46 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,788,440

LCM of Fractions 296/85,788/18,440/46 is 3207160

2 296, 788, 440
2 148, 394, 220
2 74, 197, 110
37, 197, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 197 x 55 = 3207160

Least Common Multiple of 296,788,440 with GCF Formula

Least Common Multiple of 296,788,440 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 296,788,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,788,440) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(296,788,440) x common factors =4 x 8 = 32

LCM(296,788,440) = ( 296 × 788 × 440 ) / 32

LCM(296,788,440) = 102629120 / 32

LCM(296,788,440) = 3207160


Lets's calculate GCF of 85,18,46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3207160/1

Therefore the LCM of Fractions 296/85,788/18,440/46 is 3207160

Greatest Common Factor of 85,18,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,18,46 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 85,18,46 . The biggest common factor number is the GCF number.
So the greatest common factor 85,18,46 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 296/85, 788/18, 440/46

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 296/85, 788/18, 440/46?

Answer: LCM of Numerators as per given numbers 296/85, 788/18, 440/46 is

LCM of Numerators i.e. for 296,788,440 is 3207160

GCF of denominators i.e. for 85,18,46 is 1.

Thus, LCM of Fractions is 3207160.Finally, LCM of Fractions for 296/85, 788/18, 440/46 is 3207160.