Least Common Multiple of 363/51, 624/69, 560/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/51, 624/69, 560/894 quickly i.e. 880880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/51, 624/69, 560/894 is 880880.

LCM(363/51, 624/69, 560/894) = 880880

LCM of 363/51, 624/69, 560/894

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 363/51,624/69,560/894

Given numbers are 363/51,624/69,560/894

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 363,624,560

Least Common Multiple of Numerators i.e. LCM of 363,624,560 is 2642640.

GCF of Denominators means GCF of 51,69,894 as per the given fractions.

GCF of 51,69,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,624,560

LCM of Fractions 363/51,624/69,560/894 is 880880

2 363, 624, 560
2 363, 312, 280
2 363, 156, 140
2 363, 78, 70
3 363, 39, 35
121, 13, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 121 x 13 x 35 = 2642640

Least Common Multiple of 363,624,560 with GCF Formula

Least Common Multiple of 363,624,560 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 363,624,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,624,560) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(363,624,560) x common factors =1 x 48 = 48

LCM(363,624,560) = ( 363 × 624 × 560 ) / 48

LCM(363,624,560) = 126846720 / 48

LCM(363,624,560) = 2642640


Lets's calculate GCF of 51,69,894

3 51, 69, 894
17, 23, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2642640/3

Therefore the LCM of Fractions 363/51,624/69,560/894 is 880880

Greatest Common Factor of 51,69,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,69,894 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 51,69,894 . The biggest common factor number is the GCF number.
So the greatest common factor 51,69,894 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 363/51, 624/69, 560/894

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 363/51, 624/69, 560/894?

Answer: LCM of Numerators as per given numbers 363/51, 624/69, 560/894 is

LCM of Numerators i.e. for 363,624,560 is 2642640

GCF of denominators i.e. for 51,69,894 is 3.

Thus, LCM of Fractions is 880880.Finally, LCM of Fractions for 363/51, 624/69, 560/894 is 880880.