Least Common Multiple of 38/749, 48/281, 764/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/749, 48/281, 764/679 quickly i.e. 174192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/749, 48/281, 764/679 is 174192.

LCM(38/749, 48/281, 764/679) = 174192

LCM of 38/749, 48/281, 764/679

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 38/749,48/281,764/679

Given numbers are 38/749,48/281,764/679

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 38,48,764

Least Common Multiple of Numerators i.e. LCM of 38,48,764 is 174192.

GCF of Denominators means GCF of 749,281,679 as per the given fractions.

GCF of 749,281,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,48,764

LCM of Fractions 38/749,48/281,764/679 is 174192

2 38, 48, 764
2 19, 24, 382
19, 12, 191

∴ So the LCM of the given numbers is 2 x 2 x 19 x 12 x 191 = 174192

Least Common Multiple of 38,48,764 with GCF Formula

Least Common Multiple of 38,48,764 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 38,48,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,48,764) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(38,48,764) x common factors =2 x 4 = 8

LCM(38,48,764) = ( 38 × 48 × 764 ) / 8

LCM(38,48,764) = 1393536 / 8

LCM(38,48,764) = 174192


Lets's calculate GCF of 749,281,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174192/1

Therefore the LCM of Fractions 38/749,48/281,764/679 is 174192

Greatest Common Factor of 749,281,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,281,679 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 749,281,679 . The biggest common factor number is the GCF number.
So the greatest common factor 749,281,679 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 38/749, 48/281, 764/679

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 38/749, 48/281, 764/679?

Answer: LCM of Numerators as per given numbers 38/749, 48/281, 764/679 is

LCM of Numerators i.e. for 38,48,764 is 174192

GCF of denominators i.e. for 749,281,679 is 1.

Thus, LCM of Fractions is 174192.Finally, LCM of Fractions for 38/749, 48/281, 764/679 is 174192.