Least Common Multiple of 310/66, 485/4880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/66, 485/4880 quickly i.e. 15035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/66, 485/4880 is 15035.

LCM(310/66, 485/4880) = 15035

LCM of 310/66, 485/4880

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 310/66,485/4880

Given numbers are 310/66,485/4880

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 310,485

Least Common Multiple of Numerators i.e. LCM of 310,485 is 30070.

GCF of Denominators means GCF of 66,4880 as per the given fractions.

GCF of 66,4880 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,485

LCM of Fractions 310/66,485/4880 is 15035

5 310, 485
62, 97

∴ So the LCM of the given numbers is 5 x 62 x 97 = 30070

Least Common Multiple of 310,485 with GCF Formula

Least Common Multiple of 310,485 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 310,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,485) = 5

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

GCF(310,485) x common factors =5 x 1 = 5

LCM(310,485) = ( 310 × 485 ) / 5

LCM(310,485) = 150350 / 5

LCM(310,485) = 30070


Lets's calculate GCF of 66,4880

2 66, 4880
33, 2440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30070/2

Therefore the LCM of Fractions 310/66,485/4880 is 15035

Greatest Common Factor of 66,4880 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,4880 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880

Greatest Common Factor

We found the factors 66,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 66,4880 is 2.


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 310/66, 485/4880

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 310/66, 485/4880?

Answer: LCM of Numerators as per given numbers 310/66, 485/4880 is

LCM of Numerators i.e. for 310,485 is 30070

GCF of denominators i.e. for 66,4880 is 2.

Thus, LCM of Fractions is 15035.Finally, LCM of Fractions for 310/66, 485/4880 is 15035.