Least Common Multiple of 363/46, 688/65, 660/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/46, 688/65, 660/699 quickly i.e. 1248720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/46, 688/65, 660/699 is 1248720.

LCM(363/46, 688/65, 660/699) = 1248720

LCM of 363/46, 688/65, 660/699

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 363/46,688/65,660/699

Given numbers are 363/46,688/65,660/699

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 363,688,660

Least Common Multiple of Numerators i.e. LCM of 363,688,660 is 1248720.

GCF of Denominators means GCF of 46,65,699 as per the given fractions.

GCF of 46,65,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,688,660

LCM of Fractions 363/46,688/65,660/699 is 1248720

2 363, 688, 660
2 363, 344, 330
3 363, 172, 165
11 121, 172, 55
11, 172, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 11 x 172 x 5 = 1248720

Least Common Multiple of 363,688,660 with GCF Formula

Least Common Multiple of 363,688,660 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 363,688,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,688,660) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(363,688,660) x common factors =1 x 132 = 132

LCM(363,688,660) = ( 363 × 688 × 660 ) / 132

LCM(363,688,660) = 164831040 / 132

LCM(363,688,660) = 1248720


Lets's calculate GCF of 46,65,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1248720/1

Therefore the LCM of Fractions 363/46,688/65,660/699 is 1248720

Greatest Common Factor of 46,65,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,65,699 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 46,65,699 . The biggest common factor number is the GCF number.
So the greatest common factor 46,65,699 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 363/46, 688/65, 660/699

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 363/46, 688/65, 660/699?

Answer: LCM of Numerators as per given numbers 363/46, 688/65, 660/699 is

LCM of Numerators i.e. for 363,688,660 is 1248720

GCF of denominators i.e. for 46,65,699 is 1.

Thus, LCM of Fractions is 1248720.Finally, LCM of Fractions for 363/46, 688/65, 660/699 is 1248720.