Least Common Multiple of 698/27, 647/52, 971/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 698/27, 647/52, 971/44 quickly i.e. 438509426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/27, 647/52, 971/44 is 438509426.

LCM(698/27, 647/52, 971/44) = 438509426

LCM of 698/27, 647/52, 971/44

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 698/27,647/52,971/44

Given numbers are 698/27,647/52,971/44

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 698,647,971

Least Common Multiple of Numerators i.e. LCM of 698,647,971 is 438509426.

GCF of Denominators means GCF of 27,52,44 as per the given fractions.

GCF of 27,52,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,647,971

LCM of Fractions 698/27,647/52,971/44 is 438509426

Given numbers has no common factors except 1. So, there LCM is their product i.e 438509426

Least Common Multiple of 698,647,971 with GCF Formula

Least Common Multiple of 698,647,971 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 698,647,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,647,971) = 1

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

GCF(698,647,971) x common factors =1 x 1 = 1

LCM(698,647,971) = ( 698 × 647 × 971 ) / 1

LCM(698,647,971) = 438509426 / 1

LCM(698,647,971) = 438509426


Lets's calculate GCF of 27,52,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438509426/1

Therefore the LCM of Fractions 698/27,647/52,971/44 is 438509426

Greatest Common Factor of 27,52,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,52,44 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 44

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

1,2,4,11,22,44

Greatest Common Factor

We found the factors 27,52,44 . The biggest common factor number is the GCF number.
So the greatest common factor 27,52,44 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 698/27, 647/52, 971/44

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 698/27, 647/52, 971/44?

Answer: LCM of Numerators as per given numbers 698/27, 647/52, 971/44 is

LCM of Numerators i.e. for 698,647,971 is 438509426

GCF of denominators i.e. for 27,52,44 is 1.

Thus, LCM of Fractions is 438509426.Finally, LCM of Fractions for 698/27, 647/52, 971/44 is 438509426.