Least Common Multiple of 594/560, 1536/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/560, 1536/105 quickly i.e. 152064/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/560, 1536/105 is 152064/35.

LCM(594/560, 1536/105) = 152064/35

LCM of 594/560, 1536/105

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 594/560,1536/105

Given numbers are 594/560,1536/105

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 594,1536

Least Common Multiple of Numerators i.e. LCM of 594,1536 is 152064.

GCF of Denominators means GCF of 560,105 as per the given fractions.

GCF of 560,105 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,1536

LCM of Fractions 594/560,1536/105 is 152064/35

2 594, 1536
3 297, 768
99, 256

∴ So the LCM of the given numbers is 2 x 3 x 99 x 256 = 152064

Least Common Multiple of 594,1536 with GCF Formula

Least Common Multiple of 594,1536 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 594,1536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,1536) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(594,1536) x common factors =6 x 1 = 6

LCM(594,1536) = ( 594 × 1536 ) / 6

LCM(594,1536) = 912384 / 6

LCM(594,1536) = 152064


Lets's calculate GCF of 560,105

5 560, 105
7 112, 21
16, 3

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152064/35

Therefore the LCM of Fractions 594/560,1536/105 is 152064/35

Greatest Common Factor of 560,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,105 By Matching Biggest Common Factor Method

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

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 560,105 . The biggest common factor number is the GCF number.
So the greatest common factor 560,105 is 35.


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 594/560, 1536/105

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 594/560, 1536/105?

Answer: LCM of Numerators as per given numbers 594/560, 1536/105 is

LCM of Numerators i.e. for 594,1536 is 152064

GCF of denominators i.e. for 560,105 is 35.

Thus, LCM of Fractions is 152064/35.Finally, LCM of Fractions for 594/560, 1536/105 is 152064/35.