Least Common Multiple of 312/440, 234/234, 896/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/440, 234/234, 896/603 quickly i.e. 104832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/440, 234/234, 896/603 is 104832.

LCM(312/440, 234/234, 896/603) = 104832

LCM of 312/440, 234/234, 896/603

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 312/440,234/234,896/603

Given numbers are 312/440,234/234,896/603

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 312,234,896

Least Common Multiple of Numerators i.e. LCM of 312,234,896 is 104832.

GCF of Denominators means GCF of 440,234,603 as per the given fractions.

GCF of 440,234,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,234,896

LCM of Fractions 312/440,234/234,896/603 is 104832

2 312, 234, 896
2 156, 117, 448
2 78, 117, 224
3 39, 117, 112
13 13, 39, 112
1, 3, 112

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 1 x 3 x 112 = 104832

Least Common Multiple of 312,234,896 with GCF Formula

Least Common Multiple of 312,234,896 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 312,234,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,234,896) = 2

common factors(in case of two or more numbers have common factors) = 312

GCF(312,234,896) x common factors =2 x 312 = 624

LCM(312,234,896) = ( 312 × 234 × 896 ) / 624

LCM(312,234,896) = 65415168 / 624

LCM(312,234,896) = 104832


Lets's calculate GCF of 440,234,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104832/1

Therefore the LCM of Fractions 312/440,234/234,896/603 is 104832

Greatest Common Factor of 440,234,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,234,603 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 440,234,603 . The biggest common factor number is the GCF number.
So the greatest common factor 440,234,603 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 312/440, 234/234, 896/603

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 312/440, 234/234, 896/603?

Answer: LCM of Numerators as per given numbers 312/440, 234/234, 896/603 is

LCM of Numerators i.e. for 312,234,896 is 104832

GCF of denominators i.e. for 440,234,603 is 1.

Thus, LCM of Fractions is 104832.Finally, LCM of Fractions for 312/440, 234/234, 896/603 is 104832.