Least Common Multiple of 470/98, 665/3161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 470/98, 665/3161 quickly i.e. 62510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/98, 665/3161 is 62510.

LCM(470/98, 665/3161) = 62510

LCM of 470/98, 665/3161

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 470/98,665/3161

Given numbers are 470/98,665/3161

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 470,665

Least Common Multiple of Numerators i.e. LCM of 470,665 is 62510.

GCF of Denominators means GCF of 98,3161 as per the given fractions.

GCF of 98,3161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,665

LCM of Fractions 470/98,665/3161 is 62510

5 470, 665
94, 133

∴ So the LCM of the given numbers is 5 x 94 x 133 = 62510

Least Common Multiple of 470,665 with GCF Formula

Least Common Multiple of 470,665 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 470,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,665) = 5

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

GCF(470,665) x common factors =5 x 1 = 5

LCM(470,665) = ( 470 × 665 ) / 5

LCM(470,665) = 312550 / 5

LCM(470,665) = 62510


Lets's calculate GCF of 98,3161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62510/1

Therefore the LCM of Fractions 470/98,665/3161 is 62510

Greatest Common Factor of 98,3161 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,3161 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 3161

List of positive integer factors of 3161 that divides 3161 without a remainder.

1,29,109,3161

Greatest Common Factor

We found the factors 98,3161 . The biggest common factor number is the GCF number.
So the greatest common factor 98,3161 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 470/98, 665/3161

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 470/98, 665/3161?

Answer: LCM of Numerators as per given numbers 470/98, 665/3161 is

LCM of Numerators i.e. for 470,665 is 62510

GCF of denominators i.e. for 98,3161 is 1.

Thus, LCM of Fractions is 62510.Finally, LCM of Fractions for 470/98, 665/3161 is 62510.