Least Common Multiple of 360/732, 458/796, 756/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/732, 458/796, 756/178 quickly i.e. 865620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/732, 458/796, 756/178 is 865620.

LCM(360/732, 458/796, 756/178) = 865620

LCM of 360/732, 458/796, 756/178

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 360/732,458/796,756/178

Given numbers are 360/732,458/796,756/178

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 360,458,756

Least Common Multiple of Numerators i.e. LCM of 360,458,756 is 1731240.

GCF of Denominators means GCF of 732,796,178 as per the given fractions.

GCF of 732,796,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,458,756

LCM of Fractions 360/732,458/796,756/178 is 865620

2 360, 458, 756
2 180, 229, 378
3 90, 229, 189
3 30, 229, 63
10, 229, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 x 229 x 21 = 1731240

Least Common Multiple of 360,458,756 with GCF Formula

Least Common Multiple of 360,458,756 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 360,458,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,458,756) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(360,458,756) x common factors =2 x 36 = 72

LCM(360,458,756) = ( 360 × 458 × 756 ) / 72

LCM(360,458,756) = 124649280 / 72

LCM(360,458,756) = 1731240


Lets's calculate GCF of 732,796,178

2 732, 796, 178
366, 398, 89

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1731240/2

Therefore the LCM of Fractions 360/732,458/796,756/178 is 865620

Greatest Common Factor of 732,796,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,796,178 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 732,796,178 . The biggest common factor number is the GCF number.
So the greatest common factor 732,796,178 is 2.


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 360/732, 458/796, 756/178

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 360/732, 458/796, 756/178?

Answer: LCM of Numerators as per given numbers 360/732, 458/796, 756/178 is

LCM of Numerators i.e. for 360,458,756 is 1731240

GCF of denominators i.e. for 732,796,178 is 2.

Thus, LCM of Fractions is 865620.Finally, LCM of Fractions for 360/732, 458/796, 756/178 is 865620.