Least Common Multiple of 893/10, 468/39, 316/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 893/10, 468/39, 316/326 quickly i.e. 33015996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/10, 468/39, 316/326 is 33015996.

LCM(893/10, 468/39, 316/326) = 33015996

LCM of 893/10, 468/39, 316/326

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 893/10,468/39,316/326

Given numbers are 893/10,468/39,316/326

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 893,468,316

Least Common Multiple of Numerators i.e. LCM of 893,468,316 is 33015996.

GCF of Denominators means GCF of 10,39,326 as per the given fractions.

GCF of 10,39,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,468,316

LCM of Fractions 893/10,468/39,316/326 is 33015996

2 893, 468, 316
2 893, 234, 158
893, 117, 79

∴ So the LCM of the given numbers is 2 x 2 x 893 x 117 x 79 = 33015996

Least Common Multiple of 893,468,316 with GCF Formula

Least Common Multiple of 893,468,316 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 893,468,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,468,316) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(893,468,316) x common factors =1 x 4 = 4

LCM(893,468,316) = ( 893 × 468 × 316 ) / 4

LCM(893,468,316) = 132063984 / 4

LCM(893,468,316) = 33015996


Lets's calculate GCF of 10,39,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33015996/1

Therefore the LCM of Fractions 893/10,468/39,316/326 is 33015996

Greatest Common Factor of 10,39,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,39,326 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 10,39,326 . The biggest common factor number is the GCF number.
So the greatest common factor 10,39,326 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 893/10, 468/39, 316/326

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 893/10, 468/39, 316/326?

Answer: LCM of Numerators as per given numbers 893/10, 468/39, 316/326 is

LCM of Numerators i.e. for 893,468,316 is 33015996

GCF of denominators i.e. for 10,39,326 is 1.

Thus, LCM of Fractions is 33015996.Finally, LCM of Fractions for 893/10, 468/39, 316/326 is 33015996.