Least Common Multiple of 66/498, 375/218, 213/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/498, 375/218, 213/753 quickly i.e. 585750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/498, 375/218, 213/753 is 585750.

LCM(66/498, 375/218, 213/753) = 585750

LCM of 66/498, 375/218, 213/753

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 66/498,375/218,213/753

Given numbers are 66/498,375/218,213/753

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 66,375,213

Least Common Multiple of Numerators i.e. LCM of 66,375,213 is 585750.

GCF of Denominators means GCF of 498,218,753 as per the given fractions.

GCF of 498,218,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,375,213

LCM of Fractions 66/498,375/218,213/753 is 585750

3 66, 375, 213
22, 125, 71

∴ So the LCM of the given numbers is 3 x 22 x 125 x 71 = 585750

Least Common Multiple of 66,375,213 with GCF Formula

Least Common Multiple of 66,375,213 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 66,375,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,375,213) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(66,375,213) x common factors =3 x 3 = 9

LCM(66,375,213) = ( 66 × 375 × 213 ) / 9

LCM(66,375,213) = 5271750 / 9

LCM(66,375,213) = 585750


Lets's calculate GCF of 498,218,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585750/1

Therefore the LCM of Fractions 66/498,375/218,213/753 is 585750

Greatest Common Factor of 498,218,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,218,753 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 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 498,218,753 . The biggest common factor number is the GCF number.
So the greatest common factor 498,218,753 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 66/498, 375/218, 213/753

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 66/498, 375/218, 213/753?

Answer: LCM of Numerators as per given numbers 66/498, 375/218, 213/753 is

LCM of Numerators i.e. for 66,375,213 is 585750

GCF of denominators i.e. for 498,218,753 is 1.

Thus, LCM of Fractions is 585750.Finally, LCM of Fractions for 66/498, 375/218, 213/753 is 585750.