Least Common Multiple of 449/97, 368/69, 427/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 449/97, 368/69, 427/531 quickly i.e. 70554064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/97, 368/69, 427/531 is 70554064.

LCM(449/97, 368/69, 427/531) = 70554064

LCM of 449/97, 368/69, 427/531

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 449/97,368/69,427/531

Given numbers are 449/97,368/69,427/531

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 449,368,427

Least Common Multiple of Numerators i.e. LCM of 449,368,427 is 70554064.

GCF of Denominators means GCF of 97,69,531 as per the given fractions.

GCF of 97,69,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,368,427

LCM of Fractions 449/97,368/69,427/531 is 70554064

Given numbers has no common factors except 1. So, there LCM is their product i.e 70554064

Least Common Multiple of 449,368,427 with GCF Formula

Least Common Multiple of 449,368,427 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 449,368,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,368,427) = 1

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

GCF(449,368,427) x common factors =1 x 1 = 1

LCM(449,368,427) = ( 449 × 368 × 427 ) / 1

LCM(449,368,427) = 70554064 / 1

LCM(449,368,427) = 70554064


Lets's calculate GCF of 97,69,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70554064/1

Therefore the LCM of Fractions 449/97,368/69,427/531 is 70554064

Greatest Common Factor of 97,69,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,69,531 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 97,69,531 . The biggest common factor number is the GCF number.
So the greatest common factor 97,69,531 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 449/97, 368/69, 427/531

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 449/97, 368/69, 427/531?

Answer: LCM of Numerators as per given numbers 449/97, 368/69, 427/531 is

LCM of Numerators i.e. for 449,368,427 is 70554064

GCF of denominators i.e. for 97,69,531 is 1.

Thus, LCM of Fractions is 70554064.Finally, LCM of Fractions for 449/97, 368/69, 427/531 is 70554064.