Least Common Multiple of 477/11, 449/31, 861/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/11, 449/31, 861/981 quickly i.e. 61467651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/11, 449/31, 861/981 is 61467651.

LCM(477/11, 449/31, 861/981) = 61467651

LCM of 477/11, 449/31, 861/981

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 477/11,449/31,861/981

Given numbers are 477/11,449/31,861/981

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 477,449,861

Least Common Multiple of Numerators i.e. LCM of 477,449,861 is 61467651.

GCF of Denominators means GCF of 11,31,981 as per the given fractions.

GCF of 11,31,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,449,861

LCM of Fractions 477/11,449/31,861/981 is 61467651

3 477, 449, 861
159, 449, 287

∴ So the LCM of the given numbers is 3 x 159 x 449 x 287 = 61467651

Least Common Multiple of 477,449,861 with GCF Formula

Least Common Multiple of 477,449,861 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 477,449,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,449,861) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(477,449,861) x common factors =1 x 3 = 3

LCM(477,449,861) = ( 477 × 449 × 861 ) / 3

LCM(477,449,861) = 184402953 / 3

LCM(477,449,861) = 61467651


Lets's calculate GCF of 11,31,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61467651/1

Therefore the LCM of Fractions 477/11,449/31,861/981 is 61467651

Greatest Common Factor of 11,31,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,31,981 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 11,31,981 . The biggest common factor number is the GCF number.
So the greatest common factor 11,31,981 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 477/11, 449/31, 861/981

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 477/11, 449/31, 861/981?

Answer: LCM of Numerators as per given numbers 477/11, 449/31, 861/981 is

LCM of Numerators i.e. for 477,449,861 is 61467651

GCF of denominators i.e. for 11,31,981 is 1.

Thus, LCM of Fractions is 61467651.Finally, LCM of Fractions for 477/11, 449/31, 861/981 is 61467651.