Least Common Multiple of 466/610, 4615/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/610, 4615/480 quickly i.e. 215059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/610, 4615/480 is 215059.

LCM(466/610, 4615/480) = 215059

LCM of 466/610, 4615/480

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 466/610,4615/480

Given numbers are 466/610,4615/480

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 466,4615

Least Common Multiple of Numerators i.e. LCM of 466,4615 is 2150590.

GCF of Denominators means GCF of 610,480 as per the given fractions.

GCF of 610,480 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,4615

LCM of Fractions 466/610,4615/480 is 215059

Given numbers has no common factors except 1. So, there LCM is their product i.e 2150590

Least Common Multiple of 466,4615 with GCF Formula

Least Common Multiple of 466,4615 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 466,4615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,4615) = 1

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

GCF(466,4615) x common factors =1 x 1 = 1

LCM(466,4615) = ( 466 × 4615 ) / 1

LCM(466,4615) = 2150590 / 1

LCM(466,4615) = 2150590


Lets's calculate GCF of 610,480

2 610, 480
5 305, 240
61, 48

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2150590/10

Therefore the LCM of Fractions 466/610,4615/480 is 215059

Greatest Common Factor of 610,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,480 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 610,480 . The biggest common factor number is the GCF number.
So the greatest common factor 610,480 is 10.


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 466/610, 4615/480

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 466/610, 4615/480?

Answer: LCM of Numerators as per given numbers 466/610, 4615/480 is

LCM of Numerators i.e. for 466,4615 is 2150590

GCF of denominators i.e. for 610,480 is 10.

Thus, LCM of Fractions is 215059.Finally, LCM of Fractions for 466/610, 4615/480 is 215059.