Least Common Multiple of 553/60, 775/44, 813/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 553/60, 775/44, 813/662 quickly i.e. 348431475/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/60, 775/44, 813/662 is 348431475/2.

LCM(553/60, 775/44, 813/662) = 348431475/2

LCM of 553/60, 775/44, 813/662

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 553/60,775/44,813/662

Given numbers are 553/60,775/44,813/662

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 553,775,813

Least Common Multiple of Numerators i.e. LCM of 553,775,813 is 348431475.

GCF of Denominators means GCF of 60,44,662 as per the given fractions.

GCF of 60,44,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,775,813

LCM of Fractions 553/60,775/44,813/662 is 348431475/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 348431475

Least Common Multiple of 553,775,813 with GCF Formula

Least Common Multiple of 553,775,813 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 553,775,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,775,813) = 1

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

GCF(553,775,813) x common factors =1 x 1 = 1

LCM(553,775,813) = ( 553 × 775 × 813 ) / 1

LCM(553,775,813) = 348431475 / 1

LCM(553,775,813) = 348431475


Lets's calculate GCF of 60,44,662

2 60, 44, 662
30, 22, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348431475/2

Therefore the LCM of Fractions 553/60,775/44,813/662 is 348431475/2

Greatest Common Factor of 60,44,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,44,662 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 60,44,662 . The biggest common factor number is the GCF number.
So the greatest common factor 60,44,662 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 553/60, 775/44, 813/662

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 553/60, 775/44, 813/662?

Answer: LCM of Numerators as per given numbers 553/60, 775/44, 813/662 is

LCM of Numerators i.e. for 553,775,813 is 348431475

GCF of denominators i.e. for 60,44,662 is 2.

Thus, LCM of Fractions is 348431475/2.Finally, LCM of Fractions for 553/60, 775/44, 813/662 is 348431475/2.