Least Common Multiple of 61/16, 169/42, 313/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/16, 169/42, 313/499 quickly i.e. 3226717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/16, 169/42, 313/499 is 3226717.

LCM(61/16, 169/42, 313/499) = 3226717

LCM of 61/16, 169/42, 313/499

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 61/16,169/42,313/499

Given numbers are 61/16,169/42,313/499

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 61,169,313

Least Common Multiple of Numerators i.e. LCM of 61,169,313 is 3226717.

GCF of Denominators means GCF of 16,42,499 as per the given fractions.

GCF of 16,42,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,169,313

LCM of Fractions 61/16,169/42,313/499 is 3226717

Given numbers has no common factors except 1. So, there LCM is their product i.e 3226717

Least Common Multiple of 61,169,313 with GCF Formula

Least Common Multiple of 61,169,313 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 61,169,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,169,313) = 1

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

GCF(61,169,313) x common factors =1 x 1 = 1

LCM(61,169,313) = ( 61 × 169 × 313 ) / 1

LCM(61,169,313) = 3226717 / 1

LCM(61,169,313) = 3226717


Lets's calculate GCF of 16,42,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3226717/1

Therefore the LCM of Fractions 61/16,169/42,313/499 is 3226717

Greatest Common Factor of 16,42,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,42,499 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 16,42,499 . The biggest common factor number is the GCF number.
So the greatest common factor 16,42,499 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 61/16, 169/42, 313/499

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 61/16, 169/42, 313/499?

Answer: LCM of Numerators as per given numbers 61/16, 169/42, 313/499 is

LCM of Numerators i.e. for 61,169,313 is 3226717

GCF of denominators i.e. for 16,42,499 is 1.

Thus, LCM of Fractions is 3226717.Finally, LCM of Fractions for 61/16, 169/42, 313/499 is 3226717.