Least Common Multiple of 736/216, 9568/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/216, 9568/560 quickly i.e. 1196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/216, 9568/560 is 1196.

LCM(736/216, 9568/560) = 1196

LCM of 736/216, 9568/560

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 736/216,9568/560

Given numbers are 736/216,9568/560

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 736,9568

Least Common Multiple of Numerators i.e. LCM of 736,9568 is 9568.

GCF of Denominators means GCF of 216,560 as per the given fractions.

GCF of 216,560 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,9568

LCM of Fractions 736/216,9568/560 is 1196

2 736, 9568
2 368, 4784
2 184, 2392
2 92, 1196
2 46, 598
23 23, 299
1, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 23 x 1 x 13 = 9568

Least Common Multiple of 736,9568 with GCF Formula

Least Common Multiple of 736,9568 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 736,9568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,9568) = 736

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

GCF(736,9568) x common factors =736 x 1 = 736

LCM(736,9568) = ( 736 × 9568 ) / 736

LCM(736,9568) = 7042048 / 736

LCM(736,9568) = 9568


Lets's calculate GCF of 216,560

2 216, 560
2 108, 280
2 54, 140
27, 70

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9568/8

Therefore the LCM of Fractions 736/216,9568/560 is 1196

Greatest Common Factor of 216,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,560 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

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 216,560 . The biggest common factor number is the GCF number.
So the greatest common factor 216,560 is 8.


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 736/216, 9568/560

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 736/216, 9568/560?

Answer: LCM of Numerators as per given numbers 736/216, 9568/560 is

LCM of Numerators i.e. for 736,9568 is 9568

GCF of denominators i.e. for 216,560 is 8.

Thus, LCM of Fractions is 1196.Finally, LCM of Fractions for 736/216, 9568/560 is 1196.