Least Common Multiple of 734/94, 505/72, 928/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/94, 505/72, 928/488 quickly i.e. 85995440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/94, 505/72, 928/488 is 85995440.

LCM(734/94, 505/72, 928/488) = 85995440

LCM of 734/94, 505/72, 928/488

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 734/94,505/72,928/488

Given numbers are 734/94,505/72,928/488

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 734,505,928

Least Common Multiple of Numerators i.e. LCM of 734,505,928 is 171990880.

GCF of Denominators means GCF of 94,72,488 as per the given fractions.

GCF of 94,72,488 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,505,928

LCM of Fractions 734/94,505/72,928/488 is 85995440

2 734, 505, 928
367, 505, 464

∴ So the LCM of the given numbers is 2 x 367 x 505 x 464 = 171990880

Least Common Multiple of 734,505,928 with GCF Formula

Least Common Multiple of 734,505,928 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 734,505,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,505,928) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(734,505,928) x common factors =1 x 2 = 2

LCM(734,505,928) = ( 734 × 505 × 928 ) / 2

LCM(734,505,928) = 343981760 / 2

LCM(734,505,928) = 171990880


Lets's calculate GCF of 94,72,488

2 94, 72, 488
47, 36, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171990880/2

Therefore the LCM of Fractions 734/94,505/72,928/488 is 85995440

Greatest Common Factor of 94,72,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,72,488 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 94,72,488 . The biggest common factor number is the GCF number.
So the greatest common factor 94,72,488 is 2.


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 734/94, 505/72, 928/488

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 734/94, 505/72, 928/488?

Answer: LCM of Numerators as per given numbers 734/94, 505/72, 928/488 is

LCM of Numerators i.e. for 734,505,928 is 171990880

GCF of denominators i.e. for 94,72,488 is 2.

Thus, LCM of Fractions is 85995440.Finally, LCM of Fractions for 734/94, 505/72, 928/488 is 85995440.