Least Common Multiple of 934/496, 559/679, 527/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 934/496, 559/679, 527/728 quickly i.e. 275149862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 934/496, 559/679, 527/728 is 275149862.

LCM(934/496, 559/679, 527/728) = 275149862

LCM of 934/496, 559/679, 527/728

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 934/496,559/679,527/728

Given numbers are 934/496,559/679,527/728

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 934,559,527

Least Common Multiple of Numerators i.e. LCM of 934,559,527 is 275149862.

GCF of Denominators means GCF of 496,679,728 as per the given fractions.

GCF of 496,679,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 934,559,527

LCM of Fractions 934/496,559/679,527/728 is 275149862

Given numbers has no common factors except 1. So, there LCM is their product i.e 275149862

Least Common Multiple of 934,559,527 with GCF Formula

Least Common Multiple of 934,559,527 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 934,559,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,559,527) = 1

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

GCF(934,559,527) x common factors =1 x 1 = 1

LCM(934,559,527) = ( 934 × 559 × 527 ) / 1

LCM(934,559,527) = 275149862 / 1

LCM(934,559,527) = 275149862


Lets's calculate GCF of 496,679,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275149862/1

Therefore the LCM of Fractions 934/496,559/679,527/728 is 275149862

Greatest Common Factor of 496,679,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,679,728 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 679

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

1,7,97,679

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 496,679,728 . The biggest common factor number is the GCF number.
So the greatest common factor 496,679,728 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 934/496, 559/679, 527/728

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 934/496, 559/679, 527/728?

Answer: LCM of Numerators as per given numbers 934/496, 559/679, 527/728 is

LCM of Numerators i.e. for 934,559,527 is 275149862

GCF of denominators i.e. for 496,679,728 is 1.

Thus, LCM of Fractions is 275149862.Finally, LCM of Fractions for 934/496, 559/679, 527/728 is 275149862.