Least Common Multiple of 9432/86, 2696/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9432/86, 2696/918 quickly i.e. 1589292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9432/86, 2696/918 is 1589292.

LCM(9432/86, 2696/918) = 1589292

LCM of 9432/86, 2696/918

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 9432/86,2696/918

Given numbers are 9432/86,2696/918

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 9432,2696

Least Common Multiple of Numerators i.e. LCM of 9432,2696 is 3178584.

GCF of Denominators means GCF of 86,918 as per the given fractions.

GCF of 86,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9432,2696

LCM of Fractions 9432/86,2696/918 is 1589292

2 9432, 2696
2 4716, 1348
2 2358, 674
1179, 337

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1179 x 337 = 3178584

Least Common Multiple of 9432,2696 with GCF Formula

Least Common Multiple of 9432,2696 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 9432,2696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9432,2696) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(9432,2696) x common factors =8 x 1 = 8

LCM(9432,2696) = ( 9432 × 2696 ) / 8

LCM(9432,2696) = 25428672 / 8

LCM(9432,2696) = 3178584


Lets's calculate GCF of 86,918

2 86, 918
43, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3178584/2

Therefore the LCM of Fractions 9432/86,2696/918 is 1589292

Greatest Common Factor of 86,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,918 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 86,918 . The biggest common factor number is the GCF number.
So the greatest common factor 86,918 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9432/86, 2696/918

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 9432/86, 2696/918?

Answer: LCM of Numerators as per given numbers 9432/86, 2696/918 is

LCM of Numerators i.e. for 9432,2696 is 3178584

GCF of denominators i.e. for 86,918 is 2.

Thus, LCM of Fractions is 1589292.Finally, LCM of Fractions for 9432/86, 2696/918 is 1589292.