Least Common Multiple of 61/405, 76/693, 997/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/405, 76/693, 997/554 quickly i.e. 4622092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/405, 76/693, 997/554 is 4622092.

LCM(61/405, 76/693, 997/554) = 4622092

LCM of 61/405, 76/693, 997/554

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 61/405,76/693,997/554

Given numbers are 61/405,76/693,997/554

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 61,76,997

Least Common Multiple of Numerators i.e. LCM of 61,76,997 is 4622092.

GCF of Denominators means GCF of 405,693,554 as per the given fractions.

GCF of 405,693,554 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,76,997

LCM of Fractions 61/405,76/693,997/554 is 4622092

Given numbers has no common factors except 1. So, there LCM is their product i.e 4622092

Least Common Multiple of 61,76,997 with GCF Formula

Least Common Multiple of 61,76,997 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 61,76,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,76,997) = 1

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

GCF(61,76,997) x common factors =1 x 1 = 1

LCM(61,76,997) = ( 61 × 76 × 997 ) / 1

LCM(61,76,997) = 4622092 / 1

LCM(61,76,997) = 4622092


Lets's calculate GCF of 405,693,554

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4622092/1

Therefore the LCM of Fractions 61/405,76/693,997/554 is 4622092

Greatest Common Factor of 405,693,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,693,554 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 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 405,693,554 . The biggest common factor number is the GCF number.
So the greatest common factor 405,693,554 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 61/405, 76/693, 997/554

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 61/405, 76/693, 997/554?

Answer: LCM of Numerators as per given numbers 61/405, 76/693, 997/554 is

LCM of Numerators i.e. for 61,76,997 is 4622092

GCF of denominators i.e. for 405,693,554 is 1.

Thus, LCM of Fractions is 4622092.Finally, LCM of Fractions for 61/405, 76/693, 997/554 is 4622092.