Least Common Multiple of 9490/498, 9461/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9490/498, 9461/976 quickly i.e. 44892445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9490/498, 9461/976 is 44892445.

LCM(9490/498, 9461/976) = 44892445

LCM of 9490/498, 9461/976

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 9490/498,9461/976

Given numbers are 9490/498,9461/976

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 9490,9461

Least Common Multiple of Numerators i.e. LCM of 9490,9461 is 89784890.

GCF of Denominators means GCF of 498,976 as per the given fractions.

GCF of 498,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9490,9461

LCM of Fractions 9490/498,9461/976 is 44892445

Given numbers has no common factors except 1. So, there LCM is their product i.e 89784890

Least Common Multiple of 9490,9461 with GCF Formula

Least Common Multiple of 9490,9461 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 9490,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9490,9461) = 1

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

GCF(9490,9461) x common factors =1 x 1 = 1

LCM(9490,9461) = ( 9490 × 9461 ) / 1

LCM(9490,9461) = 89784890 / 1

LCM(9490,9461) = 89784890


Lets's calculate GCF of 498,976

2 498, 976
249, 488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89784890/2

Therefore the LCM of Fractions 9490/498,9461/976 is 44892445

Greatest Common Factor of 498,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,976 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 498,976 . The biggest common factor number is the GCF number.
So the greatest common factor 498,976 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 9490/498, 9461/976

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 9490/498, 9461/976?

Answer: LCM of Numerators as per given numbers 9490/498, 9461/976 is

LCM of Numerators i.e. for 9490,9461 is 89784890

GCF of denominators i.e. for 498,976 is 2.

Thus, LCM of Fractions is 44892445.Finally, LCM of Fractions for 9490/498, 9461/976 is 44892445.