Least Common Multiple of 89/38, 385/19, 893/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/38, 385/19, 893/758 quickly i.e. 30598645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/38, 385/19, 893/758 is 30598645.

LCM(89/38, 385/19, 893/758) = 30598645

LCM of 89/38, 385/19, 893/758

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 89/38,385/19,893/758

Given numbers are 89/38,385/19,893/758

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 89,385,893

Least Common Multiple of Numerators i.e. LCM of 89,385,893 is 30598645.

GCF of Denominators means GCF of 38,19,758 as per the given fractions.

GCF of 38,19,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,385,893

LCM of Fractions 89/38,385/19,893/758 is 30598645

Given numbers has no common factors except 1. So, there LCM is their product i.e 30598645

Least Common Multiple of 89,385,893 with GCF Formula

Least Common Multiple of 89,385,893 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 89,385,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,385,893) = 1

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

GCF(89,385,893) x common factors =1 x 1 = 1

LCM(89,385,893) = ( 89 × 385 × 893 ) / 1

LCM(89,385,893) = 30598645 / 1

LCM(89,385,893) = 30598645


Lets's calculate GCF of 38,19,758

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30598645/1

Therefore the LCM of Fractions 89/38,385/19,893/758 is 30598645

Greatest Common Factor of 38,19,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,19,758 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 38,19,758 . The biggest common factor number is the GCF number.
So the greatest common factor 38,19,758 is 1.


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 89/38, 385/19, 893/758

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 89/38, 385/19, 893/758?

Answer: LCM of Numerators as per given numbers 89/38, 385/19, 893/758 is

LCM of Numerators i.e. for 89,385,893 is 30598645

GCF of denominators i.e. for 38,19,758 is 1.

Thus, LCM of Fractions is 30598645.Finally, LCM of Fractions for 89/38, 385/19, 893/758 is 30598645.