Least Common Multiple of 360/23, 488/59, 574/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/23, 488/59, 574/699 quickly i.e. 6302520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/23, 488/59, 574/699 is 6302520.

LCM(360/23, 488/59, 574/699) = 6302520

LCM of 360/23, 488/59, 574/699

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 360/23,488/59,574/699

Given numbers are 360/23,488/59,574/699

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 360,488,574

Least Common Multiple of Numerators i.e. LCM of 360,488,574 is 6302520.

GCF of Denominators means GCF of 23,59,699 as per the given fractions.

GCF of 23,59,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,488,574

LCM of Fractions 360/23,488/59,574/699 is 6302520

2 360, 488, 574
2 180, 244, 287
2 90, 122, 287
45, 61, 287

∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 61 x 287 = 6302520

Least Common Multiple of 360,488,574 with GCF Formula

Least Common Multiple of 360,488,574 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 360,488,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,488,574) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(360,488,574) x common factors =2 x 8 = 16

LCM(360,488,574) = ( 360 × 488 × 574 ) / 16

LCM(360,488,574) = 100840320 / 16

LCM(360,488,574) = 6302520


Lets's calculate GCF of 23,59,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6302520/1

Therefore the LCM of Fractions 360/23,488/59,574/699 is 6302520

Greatest Common Factor of 23,59,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,59,699 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

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 23,59,699 . The biggest common factor number is the GCF number.
So the greatest common factor 23,59,699 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 360/23, 488/59, 574/699

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 360/23, 488/59, 574/699?

Answer: LCM of Numerators as per given numbers 360/23, 488/59, 574/699 is

LCM of Numerators i.e. for 360,488,574 is 6302520

GCF of denominators i.e. for 23,59,699 is 1.

Thus, LCM of Fractions is 6302520.Finally, LCM of Fractions for 360/23, 488/59, 574/699 is 6302520.