Least Common Multiple of 13/100, 3497/3755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/100, 3497/3755 quickly i.e. 3497/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/100, 3497/3755 is 3497/5.

LCM(13/100, 3497/3755) = 3497/5

LCM of 13/100, 3497/3755

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 13/100,3497/3755

Given numbers are 13/100,3497/3755

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 13,3497

Least Common Multiple of Numerators i.e. LCM of 13,3497 is 3497.

GCF of Denominators means GCF of 100,3755 as per the given fractions.

GCF of 100,3755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,3497

LCM of Fractions 13/100,3497/3755 is 3497/5

13 13, 3497
1, 269

∴ So the LCM of the given numbers is 13 x 1 x 269 = 3497

Least Common Multiple of 13,3497 with GCF Formula

Least Common Multiple of 13,3497 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 13,3497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,3497) = 13

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

GCF(13,3497) x common factors =13 x 1 = 13

LCM(13,3497) = ( 13 × 3497 ) / 13

LCM(13,3497) = 45461 / 13

LCM(13,3497) = 3497


Lets's calculate GCF of 100,3755

5 100, 3755
20, 751

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3497/5

Therefore the LCM of Fractions 13/100,3497/3755 is 3497/5

Greatest Common Factor of 100,3755 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,3755 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 3755

List of positive integer factors of 3755 that divides 3755 without a remainder.

1,5,751,3755

Greatest Common Factor

We found the factors 100,3755 . The biggest common factor number is the GCF number.
So the greatest common factor 100,3755 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/100, 3497/3755

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 13/100, 3497/3755?

Answer: LCM of Numerators as per given numbers 13/100, 3497/3755 is

LCM of Numerators i.e. for 13,3497 is 3497

GCF of denominators i.e. for 100,3755 is 5.

Thus, LCM of Fractions is 3497/5.Finally, LCM of Fractions for 13/100, 3497/3755 is 3497/5.