Least Common Multiple of 926/915, 488/326, 206/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 926/915, 488/326, 206/532 quickly i.e. 23272232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/915, 488/326, 206/532 is 23272232.

LCM(926/915, 488/326, 206/532) = 23272232

LCM of 926/915, 488/326, 206/532

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 926/915,488/326,206/532

Given numbers are 926/915,488/326,206/532

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 926,488,206

Least Common Multiple of Numerators i.e. LCM of 926,488,206 is 23272232.

GCF of Denominators means GCF of 915,326,532 as per the given fractions.

GCF of 915,326,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,488,206

LCM of Fractions 926/915,488/326,206/532 is 23272232

2 926, 488, 206
463, 244, 103

∴ So the LCM of the given numbers is 2 x 463 x 244 x 103 = 23272232

Least Common Multiple of 926,488,206 with GCF Formula

Least Common Multiple of 926,488,206 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 926,488,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,488,206) = 2

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

GCF(926,488,206) x common factors =2 x 2 = 4

LCM(926,488,206) = ( 926 × 488 × 206 ) / 4

LCM(926,488,206) = 93088928 / 4

LCM(926,488,206) = 23272232


Lets's calculate GCF of 915,326,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23272232/1

Therefore the LCM of Fractions 926/915,488/326,206/532 is 23272232

Greatest Common Factor of 915,326,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,326,532 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 326

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

1,2,163,326

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 915,326,532 . The biggest common factor number is the GCF number.
So the greatest common factor 915,326,532 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 926/915, 488/326, 206/532

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 926/915, 488/326, 206/532?

Answer: LCM of Numerators as per given numbers 926/915, 488/326, 206/532 is

LCM of Numerators i.e. for 926,488,206 is 23272232

GCF of denominators i.e. for 915,326,532 is 1.

Thus, LCM of Fractions is 23272232.Finally, LCM of Fractions for 926/915, 488/326, 206/532 is 23272232.