Least Common Multiple of 55/405, 4831/7821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/405, 4831/7821 quickly i.e. 265705/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/405, 4831/7821 is 265705/9.

LCM(55/405, 4831/7821) = 265705/9

LCM of 55/405, 4831/7821

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 55/405,4831/7821

Given numbers are 55/405,4831/7821

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 55,4831

Least Common Multiple of Numerators i.e. LCM of 55,4831 is 265705.

GCF of Denominators means GCF of 405,7821 as per the given fractions.

GCF of 405,7821 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,4831

LCM of Fractions 55/405,4831/7821 is 265705/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 265705

Least Common Multiple of 55,4831 with GCF Formula

Least Common Multiple of 55,4831 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 55,4831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,4831) = 1

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

GCF(55,4831) x common factors =1 x 1 = 1

LCM(55,4831) = ( 55 × 4831 ) / 1

LCM(55,4831) = 265705 / 1

LCM(55,4831) = 265705


Lets's calculate GCF of 405,7821

3 405, 7821
3 135, 2607
45, 869

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265705/9

Therefore the LCM of Fractions 55/405,4831/7821 is 265705/9

Greatest Common Factor of 405,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,7821 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 405,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 405,7821 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/405, 4831/7821

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 55/405, 4831/7821?

Answer: LCM of Numerators as per given numbers 55/405, 4831/7821 is

LCM of Numerators i.e. for 55,4831 is 265705

GCF of denominators i.e. for 405,7821 is 9.

Thus, LCM of Fractions is 265705/9.Finally, LCM of Fractions for 55/405, 4831/7821 is 265705/9.