Least Common Multiple of 61/45, 611/57, 467/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/45, 611/57, 467/518 quickly i.e. 17405557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/45, 611/57, 467/518 is 17405557.

LCM(61/45, 611/57, 467/518) = 17405557

LCM of 61/45, 611/57, 467/518

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 61/45,611/57,467/518

Given numbers are 61/45,611/57,467/518

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 61,611,467

Least Common Multiple of Numerators i.e. LCM of 61,611,467 is 17405557.

GCF of Denominators means GCF of 45,57,518 as per the given fractions.

GCF of 45,57,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,611,467

LCM of Fractions 61/45,611/57,467/518 is 17405557

Given numbers has no common factors except 1. So, there LCM is their product i.e 17405557

Least Common Multiple of 61,611,467 with GCF Formula

Least Common Multiple of 61,611,467 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 61,611,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,611,467) = 1

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

GCF(61,611,467) x common factors =1 x 1 = 1

LCM(61,611,467) = ( 61 × 611 × 467 ) / 1

LCM(61,611,467) = 17405557 / 1

LCM(61,611,467) = 17405557


Lets's calculate GCF of 45,57,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17405557/1

Therefore the LCM of Fractions 61/45,611/57,467/518 is 17405557

Greatest Common Factor of 45,57,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,57,518 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 45,57,518 . The biggest common factor number is the GCF number.
So the greatest common factor 45,57,518 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 61/45, 611/57, 467/518

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 61/45, 611/57, 467/518?

Answer: LCM of Numerators as per given numbers 61/45, 611/57, 467/518 is

LCM of Numerators i.e. for 61,611,467 is 17405557

GCF of denominators i.e. for 45,57,518 is 1.

Thus, LCM of Fractions is 17405557.Finally, LCM of Fractions for 61/45, 611/57, 467/518 is 17405557.