Least Common Multiple of 552/74, 969/5041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 552/74, 969/5041 quickly i.e. 178296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/74, 969/5041 is 178296.

LCM(552/74, 969/5041) = 178296

LCM of 552/74, 969/5041

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 552/74,969/5041

Given numbers are 552/74,969/5041

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 552,969

Least Common Multiple of Numerators i.e. LCM of 552,969 is 178296.

GCF of Denominators means GCF of 74,5041 as per the given fractions.

GCF of 74,5041 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,969

LCM of Fractions 552/74,969/5041 is 178296

3 552, 969
184, 323

∴ So the LCM of the given numbers is 3 x 184 x 323 = 178296

Least Common Multiple of 552,969 with GCF Formula

Least Common Multiple of 552,969 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 552,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,969) = 3

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

GCF(552,969) x common factors =3 x 1 = 3

LCM(552,969) = ( 552 × 969 ) / 3

LCM(552,969) = 534888 / 3

LCM(552,969) = 178296


Lets's calculate GCF of 74,5041

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178296/1

Therefore the LCM of Fractions 552/74,969/5041 is 178296

Greatest Common Factor of 74,5041 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,5041 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 5041

List of positive integer factors of 5041 that divides 5041 without a remainder.

1,71,5041

Greatest Common Factor

We found the factors 74,5041 . The biggest common factor number is the GCF number.
So the greatest common factor 74,5041 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 552/74, 969/5041

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 552/74, 969/5041?

Answer: LCM of Numerators as per given numbers 552/74, 969/5041 is

LCM of Numerators i.e. for 552,969 is 178296

GCF of denominators i.e. for 74,5041 is 1.

Thus, LCM of Fractions is 178296.Finally, LCM of Fractions for 552/74, 969/5041 is 178296.