Least Common Multiple of 81/619, 96/946, 927/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/619, 96/946, 927/619 quickly i.e. 266976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/619, 96/946, 927/619 is 266976.

LCM(81/619, 96/946, 927/619) = 266976

LCM of 81/619, 96/946, 927/619

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 81/619,96/946,927/619

Given numbers are 81/619,96/946,927/619

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 81,96,927

Least Common Multiple of Numerators i.e. LCM of 81,96,927 is 266976.

GCF of Denominators means GCF of 619,946,619 as per the given fractions.

GCF of 619,946,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,96,927

LCM of Fractions 81/619,96/946,927/619 is 266976

3 81, 96, 927
3 27, 32, 309
9, 32, 103

∴ So the LCM of the given numbers is 3 x 3 x 9 x 32 x 103 = 266976

Least Common Multiple of 81,96,927 with GCF Formula

Least Common Multiple of 81,96,927 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 81,96,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,96,927) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(81,96,927) x common factors =3 x 9 = 27

LCM(81,96,927) = ( 81 × 96 × 927 ) / 27

LCM(81,96,927) = 7208352 / 27

LCM(81,96,927) = 266976


Lets's calculate GCF of 619,946,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266976/1

Therefore the LCM of Fractions 81/619,96/946,927/619 is 266976

Greatest Common Factor of 619,946,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,946,619 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 619,946,619 . The biggest common factor number is the GCF number.
So the greatest common factor 619,946,619 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 81/619, 96/946, 927/619

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 81/619, 96/946, 927/619?

Answer: LCM of Numerators as per given numbers 81/619, 96/946, 927/619 is

LCM of Numerators i.e. for 81,96,927 is 266976

GCF of denominators i.e. for 619,946,619 is 1.

Thus, LCM of Fractions is 266976.Finally, LCM of Fractions for 81/619, 96/946, 927/619 is 266976.