Least Common Multiple of 611/89, 499/46, 159/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 611/89, 499/46, 159/56 quickly i.e. 48477351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 611/89, 499/46, 159/56 is 48477351.

LCM(611/89, 499/46, 159/56) = 48477351

LCM of 611/89, 499/46, 159/56

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 611/89,499/46,159/56

Given numbers are 611/89,499/46,159/56

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 611,499,159

Least Common Multiple of Numerators i.e. LCM of 611,499,159 is 48477351.

GCF of Denominators means GCF of 89,46,56 as per the given fractions.

GCF of 89,46,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 611,499,159

LCM of Fractions 611/89,499/46,159/56 is 48477351

Given numbers has no common factors except 1. So, there LCM is their product i.e 48477351

Least Common Multiple of 611,499,159 with GCF Formula

Least Common Multiple of 611,499,159 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 611,499,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,499,159) = 1

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

GCF(611,499,159) x common factors =1 x 1 = 1

LCM(611,499,159) = ( 611 × 499 × 159 ) / 1

LCM(611,499,159) = 48477351 / 1

LCM(611,499,159) = 48477351


Lets's calculate GCF of 89,46,56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48477351/1

Therefore the LCM of Fractions 611/89,499/46,159/56 is 48477351

Greatest Common Factor of 89,46,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,46,56 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 89,46,56 . The biggest common factor number is the GCF number.
So the greatest common factor 89,46,56 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 611/89, 499/46, 159/56

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 611/89, 499/46, 159/56?

Answer: LCM of Numerators as per given numbers 611/89, 499/46, 159/56 is

LCM of Numerators i.e. for 611,499,159 is 48477351

GCF of denominators i.e. for 89,46,56 is 1.

Thus, LCM of Fractions is 48477351.Finally, LCM of Fractions for 611/89, 499/46, 159/56 is 48477351.