Least Common Multiple of 360/112, 423/785, 684/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/112, 423/785, 684/884 quickly i.e. 321480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/112, 423/785, 684/884 is 321480.

LCM(360/112, 423/785, 684/884) = 321480

LCM of 360/112, 423/785, 684/884

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 360/112,423/785,684/884

Given numbers are 360/112,423/785,684/884

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 360,423,684

Least Common Multiple of Numerators i.e. LCM of 360,423,684 is 321480.

GCF of Denominators means GCF of 112,785,884 as per the given fractions.

GCF of 112,785,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,423,684

LCM of Fractions 360/112,423/785,684/884 is 321480

2 360, 423, 684
2 180, 423, 342
3 90, 423, 171
3 30, 141, 57
10, 47, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 x 47 x 19 = 321480

Least Common Multiple of 360,423,684 with GCF Formula

Least Common Multiple of 360,423,684 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 360,423,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,423,684) = 9

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

GCF(360,423,684) x common factors =9 x 36 = 324

LCM(360,423,684) = ( 360 × 423 × 684 ) / 324

LCM(360,423,684) = 104159520 / 324

LCM(360,423,684) = 321480


Lets's calculate GCF of 112,785,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321480/1

Therefore the LCM of Fractions 360/112,423/785,684/884 is 321480

Greatest Common Factor of 112,785,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,785,884 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 112,785,884 . The biggest common factor number is the GCF number.
So the greatest common factor 112,785,884 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 360/112, 423/785, 684/884

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 360/112, 423/785, 684/884?

Answer: LCM of Numerators as per given numbers 360/112, 423/785, 684/884 is

LCM of Numerators i.e. for 360,423,684 is 321480

GCF of denominators i.e. for 112,785,884 is 1.

Thus, LCM of Fractions is 321480.Finally, LCM of Fractions for 360/112, 423/785, 684/884 is 321480.