Least Common Multiple of 403/26, 313/88, 853/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 403/26, 313/88, 853/492 quickly i.e. 107596567/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/26, 313/88, 853/492 is 107596567/2.

LCM(403/26, 313/88, 853/492) = 107596567/2

LCM of 403/26, 313/88, 853/492

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 403/26,313/88,853/492

Given numbers are 403/26,313/88,853/492

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 403,313,853

Least Common Multiple of Numerators i.e. LCM of 403,313,853 is 107596567.

GCF of Denominators means GCF of 26,88,492 as per the given fractions.

GCF of 26,88,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,313,853

LCM of Fractions 403/26,313/88,853/492 is 107596567/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 107596567

Least Common Multiple of 403,313,853 with GCF Formula

Least Common Multiple of 403,313,853 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 403,313,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,313,853) = 1

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

GCF(403,313,853) x common factors =1 x 1 = 1

LCM(403,313,853) = ( 403 × 313 × 853 ) / 1

LCM(403,313,853) = 107596567 / 1

LCM(403,313,853) = 107596567


Lets's calculate GCF of 26,88,492

2 26, 88, 492
13, 44, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107596567/2

Therefore the LCM of Fractions 403/26,313/88,853/492 is 107596567/2

Greatest Common Factor of 26,88,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,88,492 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 26,88,492 . The biggest common factor number is the GCF number.
So the greatest common factor 26,88,492 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 403/26, 313/88, 853/492

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 403/26, 313/88, 853/492?

Answer: LCM of Numerators as per given numbers 403/26, 313/88, 853/492 is

LCM of Numerators i.e. for 403,313,853 is 107596567

GCF of denominators i.e. for 26,88,492 is 2.

Thus, LCM of Fractions is 107596567/2.Finally, LCM of Fractions for 403/26, 313/88, 853/492 is 107596567/2.