Least Common Multiple of 94/300, 36/778, 669/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/300, 36/778, 669/560 quickly i.e. 188658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/300, 36/778, 669/560 is 188658.

LCM(94/300, 36/778, 669/560) = 188658

LCM of 94/300, 36/778, 669/560

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 94/300,36/778,669/560

Given numbers are 94/300,36/778,669/560

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 94,36,669

Least Common Multiple of Numerators i.e. LCM of 94,36,669 is 377316.

GCF of Denominators means GCF of 300,778,560 as per the given fractions.

GCF of 300,778,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,36,669

LCM of Fractions 94/300,36/778,669/560 is 188658

2 94, 36, 669
3 47, 18, 669
47, 6, 223

∴ So the LCM of the given numbers is 2 x 3 x 47 x 6 x 223 = 377316

Least Common Multiple of 94,36,669 with GCF Formula

Least Common Multiple of 94,36,669 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 94,36,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,36,669) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(94,36,669) x common factors =1 x 6 = 6

LCM(94,36,669) = ( 94 × 36 × 669 ) / 6

LCM(94,36,669) = 2263896 / 6

LCM(94,36,669) = 377316


Lets's calculate GCF of 300,778,560

2 300, 778, 560
150, 389, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377316/2

Therefore the LCM of Fractions 94/300,36/778,669/560 is 188658

Greatest Common Factor of 300,778,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,778,560 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 300,778,560 . The biggest common factor number is the GCF number.
So the greatest common factor 300,778,560 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 94/300, 36/778, 669/560

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 94/300, 36/778, 669/560?

Answer: LCM of Numerators as per given numbers 94/300, 36/778, 669/560 is

LCM of Numerators i.e. for 94,36,669 is 377316

GCF of denominators i.e. for 300,778,560 is 2.

Thus, LCM of Fractions is 188658.Finally, LCM of Fractions for 94/300, 36/778, 669/560 is 188658.