Least Common Multiple of 417/488, 7110/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/488, 7110/461 quickly i.e. 988290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/488, 7110/461 is 988290.

LCM(417/488, 7110/461) = 988290

LCM of 417/488, 7110/461

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 417/488,7110/461

Given numbers are 417/488,7110/461

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 417,7110

Least Common Multiple of Numerators i.e. LCM of 417,7110 is 988290.

GCF of Denominators means GCF of 488,461 as per the given fractions.

GCF of 488,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,7110

LCM of Fractions 417/488,7110/461 is 988290

3 417, 7110
139, 2370

∴ So the LCM of the given numbers is 3 x 139 x 2370 = 988290

Least Common Multiple of 417,7110 with GCF Formula

Least Common Multiple of 417,7110 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 417,7110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,7110) = 3

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

GCF(417,7110) x common factors =3 x 1 = 3

LCM(417,7110) = ( 417 × 7110 ) / 3

LCM(417,7110) = 2964870 / 3

LCM(417,7110) = 988290


Lets's calculate GCF of 488,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 988290/1

Therefore the LCM of Fractions 417/488,7110/461 is 988290

Greatest Common Factor of 488,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,461 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 488,461 . The biggest common factor number is the GCF number.
So the greatest common factor 488,461 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 417/488, 7110/461

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 417/488, 7110/461?

Answer: LCM of Numerators as per given numbers 417/488, 7110/461 is

LCM of Numerators i.e. for 417,7110 is 988290

GCF of denominators i.e. for 488,461 is 1.

Thus, LCM of Fractions is 988290.Finally, LCM of Fractions for 417/488, 7110/461 is 988290.