Least Common Multiple of 56/990, 99/562, 269/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/990, 99/562, 269/675 quickly i.e. 1491336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/990, 99/562, 269/675 is 1491336.

LCM(56/990, 99/562, 269/675) = 1491336

LCM of 56/990, 99/562, 269/675

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 56/990,99/562,269/675

Given numbers are 56/990,99/562,269/675

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 56,99,269

Least Common Multiple of Numerators i.e. LCM of 56,99,269 is 1491336.

GCF of Denominators means GCF of 990,562,675 as per the given fractions.

GCF of 990,562,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,99,269

LCM of Fractions 56/990,99/562,269/675 is 1491336

Given numbers has no common factors except 1. So, there LCM is their product i.e 1491336

Least Common Multiple of 56,99,269 with GCF Formula

Least Common Multiple of 56,99,269 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 56,99,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,99,269) = 1

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

GCF(56,99,269) x common factors =1 x 1 = 1

LCM(56,99,269) = ( 56 × 99 × 269 ) / 1

LCM(56,99,269) = 1491336 / 1

LCM(56,99,269) = 1491336


Lets's calculate GCF of 990,562,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1491336/1

Therefore the LCM of Fractions 56/990,99/562,269/675 is 1491336

Greatest Common Factor of 990,562,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,562,675 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 990,562,675 . The biggest common factor number is the GCF number.
So the greatest common factor 990,562,675 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 56/990, 99/562, 269/675

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 56/990, 99/562, 269/675?

Answer: LCM of Numerators as per given numbers 56/990, 99/562, 269/675 is

LCM of Numerators i.e. for 56,99,269 is 1491336

GCF of denominators i.e. for 990,562,675 is 1.

Thus, LCM of Fractions is 1491336.Finally, LCM of Fractions for 56/990, 99/562, 269/675 is 1491336.