Least Common Multiple of 485/44, 730/6016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/44, 730/6016 quickly i.e. 70810/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/44, 730/6016 is 70810/4.

LCM(485/44, 730/6016) = 70810/4

LCM of 485/44, 730/6016

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 485/44,730/6016

Given numbers are 485/44,730/6016

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 485,730

Least Common Multiple of Numerators i.e. LCM of 485,730 is 70810.

GCF of Denominators means GCF of 44,6016 as per the given fractions.

GCF of 44,6016 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,730

LCM of Fractions 485/44,730/6016 is 70810/4

5 485, 730
97, 146

∴ So the LCM of the given numbers is 5 x 97 x 146 = 70810

Least Common Multiple of 485,730 with GCF Formula

Least Common Multiple of 485,730 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 485,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,730) = 5

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

GCF(485,730) x common factors =5 x 1 = 5

LCM(485,730) = ( 485 × 730 ) / 5

LCM(485,730) = 354050 / 5

LCM(485,730) = 70810


Lets's calculate GCF of 44,6016

2 44, 6016
2 22, 3008
11, 1504

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70810/4

Therefore the LCM of Fractions 485/44,730/6016 is 70810/4

Greatest Common Factor of 44,6016 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,6016 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 6016

List of positive integer factors of 6016 that divides 6016 without a remainder.

1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016

Greatest Common Factor

We found the factors 44,6016 . The biggest common factor number is the GCF number.
So the greatest common factor 44,6016 is 4.


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 485/44, 730/6016

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 485/44, 730/6016?

Answer: LCM of Numerators as per given numbers 485/44, 730/6016 is

LCM of Numerators i.e. for 485,730 is 70810

GCF of denominators i.e. for 44,6016 is 4.

Thus, LCM of Fractions is 70810/4.Finally, LCM of Fractions for 485/44, 730/6016 is 70810/4.