Least Common Multiple of 264/559, 792/503, 968/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/559, 792/503, 968/453 quickly i.e. 8712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/559, 792/503, 968/453 is 8712.

LCM(264/559, 792/503, 968/453) = 8712

LCM of 264/559, 792/503, 968/453

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 264/559,792/503,968/453

Given numbers are 264/559,792/503,968/453

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 264,792,968

Least Common Multiple of Numerators i.e. LCM of 264,792,968 is 8712.

GCF of Denominators means GCF of 559,503,453 as per the given fractions.

GCF of 559,503,453 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,792,968

LCM of Fractions 264/559,792/503,968/453 is 8712

2 264, 792, 968
2 132, 396, 484
2 66, 198, 242
3 33, 99, 121
11 11, 33, 121
1, 3, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 3 x 11 = 8712

Least Common Multiple of 264,792,968 with GCF Formula

Least Common Multiple of 264,792,968 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 264,792,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,792,968) = 88

common factors(in case of two or more numbers have common factors) = 264

GCF(264,792,968) x common factors =88 x 264 = 23232

LCM(264,792,968) = ( 264 × 792 × 968 ) / 23232

LCM(264,792,968) = 202397184 / 23232

LCM(264,792,968) = 8712


Lets's calculate GCF of 559,503,453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8712/1

Therefore the LCM of Fractions 264/559,792/503,968/453 is 8712

Greatest Common Factor of 559,503,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,503,453 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 559,503,453 . The biggest common factor number is the GCF number.
So the greatest common factor 559,503,453 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 264/559, 792/503, 968/453

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 264/559, 792/503, 968/453?

Answer: LCM of Numerators as per given numbers 264/559, 792/503, 968/453 is

LCM of Numerators i.e. for 264,792,968 is 8712

GCF of denominators i.e. for 559,503,453 is 1.

Thus, LCM of Fractions is 8712.Finally, LCM of Fractions for 264/559, 792/503, 968/453 is 8712.