Least Common Multiple of 360/66, 807/60, 258/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/66, 807/60, 258/417 quickly i.e. 1388040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/66, 807/60, 258/417 is 1388040.

LCM(360/66, 807/60, 258/417) = 1388040

LCM of 360/66, 807/60, 258/417

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 360/66,807/60,258/417

Given numbers are 360/66,807/60,258/417

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 360,807,258

Least Common Multiple of Numerators i.e. LCM of 360,807,258 is 4164120.

GCF of Denominators means GCF of 66,60,417 as per the given fractions.

GCF of 66,60,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,807,258

LCM of Fractions 360/66,807/60,258/417 is 1388040

2 360, 807, 258
3 180, 807, 129
60, 269, 43

∴ So the LCM of the given numbers is 2 x 3 x 60 x 269 x 43 = 4164120

Least Common Multiple of 360,807,258 with GCF Formula

Least Common Multiple of 360,807,258 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 360,807,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,807,258) = 3

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

GCF(360,807,258) x common factors =3 x 6 = 18

LCM(360,807,258) = ( 360 × 807 × 258 ) / 18

LCM(360,807,258) = 74954160 / 18

LCM(360,807,258) = 4164120


Lets's calculate GCF of 66,60,417

3 66, 60, 417
22, 20, 139

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4164120/3

Therefore the LCM of Fractions 360/66,807/60,258/417 is 1388040

Greatest Common Factor of 66,60,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,60,417 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 66,60,417 . The biggest common factor number is the GCF number.
So the greatest common factor 66,60,417 is 3.


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 360/66, 807/60, 258/417

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 360/66, 807/60, 258/417?

Answer: LCM of Numerators as per given numbers 360/66, 807/60, 258/417 is

LCM of Numerators i.e. for 360,807,258 is 4164120

GCF of denominators i.e. for 66,60,417 is 3.

Thus, LCM of Fractions is 1388040.Finally, LCM of Fractions for 360/66, 807/60, 258/417 is 1388040.