Least Common Multiple of 49/81, 769/92, 897/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/81, 769/92, 897/563 quickly i.e. 33799857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/81, 769/92, 897/563 is 33799857.

LCM(49/81, 769/92, 897/563) = 33799857

LCM of 49/81, 769/92, 897/563

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 49/81,769/92,897/563

Given numbers are 49/81,769/92,897/563

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 49,769,897

Least Common Multiple of Numerators i.e. LCM of 49,769,897 is 33799857.

GCF of Denominators means GCF of 81,92,563 as per the given fractions.

GCF of 81,92,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,769,897

LCM of Fractions 49/81,769/92,897/563 is 33799857

Given numbers has no common factors except 1. So, there LCM is their product i.e 33799857

Least Common Multiple of 49,769,897 with GCF Formula

Least Common Multiple of 49,769,897 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 49,769,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,769,897) = 1

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

GCF(49,769,897) x common factors =1 x 1 = 1

LCM(49,769,897) = ( 49 × 769 × 897 ) / 1

LCM(49,769,897) = 33799857 / 1

LCM(49,769,897) = 33799857


Lets's calculate GCF of 81,92,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33799857/1

Therefore the LCM of Fractions 49/81,769/92,897/563 is 33799857

Greatest Common Factor of 81,92,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,92,563 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 81,92,563 . The biggest common factor number is the GCF number.
So the greatest common factor 81,92,563 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/81, 769/92, 897/563

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 49/81, 769/92, 897/563?

Answer: LCM of Numerators as per given numbers 49/81, 769/92, 897/563 is

LCM of Numerators i.e. for 49,769,897 is 33799857

GCF of denominators i.e. for 81,92,563 is 1.

Thus, LCM of Fractions is 33799857.Finally, LCM of Fractions for 49/81, 769/92, 897/563 is 33799857.