Least Common Multiple of 66/720, 207/217, 248/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/720, 207/217, 248/358 quickly i.e. 564696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/720, 207/217, 248/358 is 564696.

LCM(66/720, 207/217, 248/358) = 564696

LCM of 66/720, 207/217, 248/358

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 66/720,207/217,248/358

Given numbers are 66/720,207/217,248/358

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 66,207,248

Least Common Multiple of Numerators i.e. LCM of 66,207,248 is 564696.

GCF of Denominators means GCF of 720,217,358 as per the given fractions.

GCF of 720,217,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,207,248

LCM of Fractions 66/720,207/217,248/358 is 564696

2 66, 207, 248
3 33, 207, 124
11, 69, 124

∴ So the LCM of the given numbers is 2 x 3 x 11 x 69 x 124 = 564696

Least Common Multiple of 66,207,248 with GCF Formula

Least Common Multiple of 66,207,248 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 66,207,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,207,248) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,207,248) x common factors =1 x 6 = 6

LCM(66,207,248) = ( 66 × 207 × 248 ) / 6

LCM(66,207,248) = 3388176 / 6

LCM(66,207,248) = 564696


Lets's calculate GCF of 720,217,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564696/1

Therefore the LCM of Fractions 66/720,207/217,248/358 is 564696

Greatest Common Factor of 720,217,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,217,358 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 720,217,358 . The biggest common factor number is the GCF number.
So the greatest common factor 720,217,358 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 66/720, 207/217, 248/358

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 66/720, 207/217, 248/358?

Answer: LCM of Numerators as per given numbers 66/720, 207/217, 248/358 is

LCM of Numerators i.e. for 66,207,248 is 564696

GCF of denominators i.e. for 720,217,358 is 1.

Thus, LCM of Fractions is 564696.Finally, LCM of Fractions for 66/720, 207/217, 248/358 is 564696.