Least Common Multiple of 38/15, 897/65, 988/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/15, 897/65, 988/725 quickly i.e. 68172/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/15, 897/65, 988/725 is 68172/5.

LCM(38/15, 897/65, 988/725) = 68172/5

LCM of 38/15, 897/65, 988/725

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 38/15,897/65,988/725

Given numbers are 38/15,897/65,988/725

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 38,897,988

Least Common Multiple of Numerators i.e. LCM of 38,897,988 is 68172.

GCF of Denominators means GCF of 15,65,725 as per the given fractions.

GCF of 15,65,725 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,897,988

LCM of Fractions 38/15,897/65,988/725 is 68172/5

2 38, 897, 988
13 19, 897, 494
19 19, 69, 38
1, 69, 2

∴ So the LCM of the given numbers is 2 x 13 x 19 x 1 x 69 x 2 = 68172

Least Common Multiple of 38,897,988 with GCF Formula

Least Common Multiple of 38,897,988 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 38,897,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,897,988) = 1

common factors(in case of two or more numbers have common factors) = 494

GCF(38,897,988) x common factors =1 x 494 = 494

LCM(38,897,988) = ( 38 × 897 × 988 ) / 494

LCM(38,897,988) = 33676968 / 494

LCM(38,897,988) = 68172


Lets's calculate GCF of 15,65,725

5 15, 65, 725
3, 13, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68172/5

Therefore the LCM of Fractions 38/15,897/65,988/725 is 68172/5

Greatest Common Factor of 15,65,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,65,725 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 15,65,725 . The biggest common factor number is the GCF number.
So the greatest common factor 15,65,725 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 38/15, 897/65, 988/725

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 38/15, 897/65, 988/725?

Answer: LCM of Numerators as per given numbers 38/15, 897/65, 988/725 is

LCM of Numerators i.e. for 38,897,988 is 68172

GCF of denominators i.e. for 15,65,725 is 5.

Thus, LCM of Fractions is 68172/5.Finally, LCM of Fractions for 38/15, 897/65, 988/725 is 68172/5.