Least Common Multiple of 59/928, 730/446, 496/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/928, 730/446, 496/998 quickly i.e. 5340680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/928, 730/446, 496/998 is 5340680.

LCM(59/928, 730/446, 496/998) = 5340680

LCM of 59/928, 730/446, 496/998

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 59/928,730/446,496/998

Given numbers are 59/928,730/446,496/998

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 59,730,496

Least Common Multiple of Numerators i.e. LCM of 59,730,496 is 10681360.

GCF of Denominators means GCF of 928,446,998 as per the given fractions.

GCF of 928,446,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,730,496

LCM of Fractions 59/928,730/446,496/998 is 5340680

2 59, 730, 496
59, 365, 248

∴ So the LCM of the given numbers is 2 x 59 x 365 x 248 = 10681360

Least Common Multiple of 59,730,496 with GCF Formula

Least Common Multiple of 59,730,496 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 59,730,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,730,496) = 1

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

GCF(59,730,496) x common factors =1 x 2 = 2

LCM(59,730,496) = ( 59 × 730 × 496 ) / 2

LCM(59,730,496) = 21362720 / 2

LCM(59,730,496) = 10681360


Lets's calculate GCF of 928,446,998

2 928, 446, 998
464, 223, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10681360/2

Therefore the LCM of Fractions 59/928,730/446,496/998 is 5340680

Greatest Common Factor of 928,446,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,446,998 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 928,446,998 . The biggest common factor number is the GCF number.
So the greatest common factor 928,446,998 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 59/928, 730/446, 496/998

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 59/928, 730/446, 496/998?

Answer: LCM of Numerators as per given numbers 59/928, 730/446, 496/998 is

LCM of Numerators i.e. for 59,730,496 is 10681360

GCF of denominators i.e. for 928,446,998 is 2.

Thus, LCM of Fractions is 5340680.Finally, LCM of Fractions for 59/928, 730/446, 496/998 is 5340680.