Least Common Multiple of 1100/688, 2384/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1100/688, 2384/712 quickly i.e. 81950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1100/688, 2384/712 is 81950.

LCM(1100/688, 2384/712) = 81950

LCM of 1100/688, 2384/712

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 1100/688,2384/712

Given numbers are 1100/688,2384/712

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 1100,2384

Least Common Multiple of Numerators i.e. LCM of 1100,2384 is 655600.

GCF of Denominators means GCF of 688,712 as per the given fractions.

GCF of 688,712 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1100,2384

LCM of Fractions 1100/688,2384/712 is 81950

2 1100, 2384
2 550, 1192
275, 596

∴ So the LCM of the given numbers is 2 x 2 x 275 x 596 = 655600

Least Common Multiple of 1100,2384 with GCF Formula

Least Common Multiple of 1100,2384 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 1100,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1100,2384) = 4

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

GCF(1100,2384) x common factors =4 x 1 = 4

LCM(1100,2384) = ( 1100 × 2384 ) / 4

LCM(1100,2384) = 2622400 / 4

LCM(1100,2384) = 655600


Lets's calculate GCF of 688,712

2 688, 712
2 344, 356
2 172, 178
86, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 655600/8

Therefore the LCM of Fractions 1100/688,2384/712 is 81950

Greatest Common Factor of 688,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,712 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 688,712 . The biggest common factor number is the GCF number.
So the greatest common factor 688,712 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 1100/688, 2384/712

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 1100/688, 2384/712?

Answer: LCM of Numerators as per given numbers 1100/688, 2384/712 is

LCM of Numerators i.e. for 1100,2384 is 655600

GCF of denominators i.e. for 688,712 is 8.

Thus, LCM of Fractions is 81950.Finally, LCM of Fractions for 1100/688, 2384/712 is 81950.