Least Common Multiple of 814/112, 2812/3292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/112, 2812/3292 quickly i.e. 7733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/112, 2812/3292 is 7733.

LCM(814/112, 2812/3292) = 7733

LCM of 814/112, 2812/3292

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 814/112,2812/3292

Given numbers are 814/112,2812/3292

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 814,2812

Least Common Multiple of Numerators i.e. LCM of 814,2812 is 30932.

GCF of Denominators means GCF of 112,3292 as per the given fractions.

GCF of 112,3292 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,2812

LCM of Fractions 814/112,2812/3292 is 7733

2 814, 2812
37 407, 1406
11, 38

∴ So the LCM of the given numbers is 2 x 37 x 11 x 38 = 30932

Least Common Multiple of 814,2812 with GCF Formula

Least Common Multiple of 814,2812 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 814,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,2812) = 74

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

GCF(814,2812) x common factors =74 x 1 = 74

LCM(814,2812) = ( 814 × 2812 ) / 74

LCM(814,2812) = 2288968 / 74

LCM(814,2812) = 30932


Lets's calculate GCF of 112,3292

2 112, 3292
2 56, 1646
28, 823

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30932/4

Therefore the LCM of Fractions 814/112,2812/3292 is 7733

Greatest Common Factor of 112,3292 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,3292 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 3292

List of positive integer factors of 3292 that divides 3292 without a remainder.

1,2,4,823,1646,3292

Greatest Common Factor

We found the factors 112,3292 . The biggest common factor number is the GCF number.
So the greatest common factor 112,3292 is 4.


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 814/112, 2812/3292

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 814/112, 2812/3292?

Answer: LCM of Numerators as per given numbers 814/112, 2812/3292 is

LCM of Numerators i.e. for 814,2812 is 30932

GCF of denominators i.e. for 112,3292 is 4.

Thus, LCM of Fractions is 7733.Finally, LCM of Fractions for 814/112, 2812/3292 is 7733.