Least Common Multiple of 467/61, 219/30, 177/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/61, 219/30, 177/535 quickly i.e. 6034107 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/61, 219/30, 177/535 is 6034107.

LCM(467/61, 219/30, 177/535) = 6034107

LCM of 467/61, 219/30, 177/535

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 467/61,219/30,177/535

Given numbers are 467/61,219/30,177/535

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 467,219,177

Least Common Multiple of Numerators i.e. LCM of 467,219,177 is 6034107.

GCF of Denominators means GCF of 61,30,535 as per the given fractions.

GCF of 61,30,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,219,177

LCM of Fractions 467/61,219/30,177/535 is 6034107

3 467, 219, 177
467, 73, 59

∴ So the LCM of the given numbers is 3 x 467 x 73 x 59 = 6034107

Least Common Multiple of 467,219,177 with GCF Formula

Least Common Multiple of 467,219,177 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 467,219,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,219,177) = 1

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

GCF(467,219,177) x common factors =1 x 3 = 3

LCM(467,219,177) = ( 467 × 219 × 177 ) / 3

LCM(467,219,177) = 18102321 / 3

LCM(467,219,177) = 6034107


Lets's calculate GCF of 61,30,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6034107/1

Therefore the LCM of Fractions 467/61,219/30,177/535 is 6034107

Greatest Common Factor of 61,30,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,30,535 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 61,30,535 . The biggest common factor number is the GCF number.
So the greatest common factor 61,30,535 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 467/61, 219/30, 177/535

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 467/61, 219/30, 177/535?

Answer: LCM of Numerators as per given numbers 467/61, 219/30, 177/535 is

LCM of Numerators i.e. for 467,219,177 is 6034107

GCF of denominators i.e. for 61,30,535 is 1.

Thus, LCM of Fractions is 6034107.Finally, LCM of Fractions for 467/61, 219/30, 177/535 is 6034107.