Least Common Multiple of 183/490, 7668/2212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 183/490, 7668/2212 quickly i.e. 467748/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 183/490, 7668/2212 is 467748/14.

LCM(183/490, 7668/2212) = 467748/14

LCM of 183/490, 7668/2212

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 183/490,7668/2212

Given numbers are 183/490,7668/2212

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 183,7668

Least Common Multiple of Numerators i.e. LCM of 183,7668 is 467748.

GCF of Denominators means GCF of 490,2212 as per the given fractions.

GCF of 490,2212 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 183,7668

LCM of Fractions 183/490,7668/2212 is 467748/14

3 183, 7668
61, 2556

∴ So the LCM of the given numbers is 3 x 61 x 2556 = 467748

Least Common Multiple of 183,7668 with GCF Formula

Least Common Multiple of 183,7668 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 183,7668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,7668) = 3

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

GCF(183,7668) x common factors =3 x 1 = 3

LCM(183,7668) = ( 183 × 7668 ) / 3

LCM(183,7668) = 1403244 / 3

LCM(183,7668) = 467748


Lets's calculate GCF of 490,2212

2 490, 2212
7 245, 1106
35, 158

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467748/14

Therefore the LCM of Fractions 183/490,7668/2212 is 467748/14

Greatest Common Factor of 490,2212 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,2212 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 2212

List of positive integer factors of 2212 that divides 2212 without a remainder.

1,2,4,7,14,28,79,158,316,553,1106,2212

Greatest Common Factor

We found the factors 490,2212 . The biggest common factor number is the GCF number.
So the greatest common factor 490,2212 is 14.


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 183/490, 7668/2212

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 183/490, 7668/2212?

Answer: LCM of Numerators as per given numbers 183/490, 7668/2212 is

LCM of Numerators i.e. for 183,7668 is 467748

GCF of denominators i.e. for 490,2212 is 14.

Thus, LCM of Fractions is 467748/14.Finally, LCM of Fractions for 183/490, 7668/2212 is 467748/14.