Least Common Multiple of 13/846, 833/988, 609/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/846, 833/988, 609/296 quickly i.e. 942123/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/846, 833/988, 609/296 is 942123/2.

LCM(13/846, 833/988, 609/296) = 942123/2

LCM of 13/846, 833/988, 609/296

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 13/846,833/988,609/296

Given numbers are 13/846,833/988,609/296

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 13,833,609

Least Common Multiple of Numerators i.e. LCM of 13,833,609 is 942123.

GCF of Denominators means GCF of 846,988,296 as per the given fractions.

GCF of 846,988,296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,833,609

LCM of Fractions 13/846,833/988,609/296 is 942123/2

7 13, 833, 609
13, 119, 87

∴ So the LCM of the given numbers is 7 x 13 x 119 x 87 = 942123

Least Common Multiple of 13,833,609 with GCF Formula

Least Common Multiple of 13,833,609 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 13,833,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,833,609) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(13,833,609) x common factors =1 x 7 = 7

LCM(13,833,609) = ( 13 × 833 × 609 ) / 7

LCM(13,833,609) = 6594861 / 7

LCM(13,833,609) = 942123


Lets's calculate GCF of 846,988,296

2 846, 988, 296
423, 494, 148

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 942123/2

Therefore the LCM of Fractions 13/846,833/988,609/296 is 942123/2

Greatest Common Factor of 846,988,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,988,296 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 846,988,296 . The biggest common factor number is the GCF number.
So the greatest common factor 846,988,296 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/846, 833/988, 609/296

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 13/846, 833/988, 609/296?

Answer: LCM of Numerators as per given numbers 13/846, 833/988, 609/296 is

LCM of Numerators i.e. for 13,833,609 is 942123

GCF of denominators i.e. for 846,988,296 is 2.

Thus, LCM of Fractions is 942123/2.Finally, LCM of Fractions for 13/846, 833/988, 609/296 is 942123/2.