Least Common Multiple of 76/112, 1620/6233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/112, 1620/6233 quickly i.e. 30780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/112, 1620/6233 is 30780.

LCM(76/112, 1620/6233) = 30780

LCM of 76/112, 1620/6233

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 76/112,1620/6233

Given numbers are 76/112,1620/6233

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 76,1620

Least Common Multiple of Numerators i.e. LCM of 76,1620 is 30780.

GCF of Denominators means GCF of 112,6233 as per the given fractions.

GCF of 112,6233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,1620

LCM of Fractions 76/112,1620/6233 is 30780

2 76, 1620
2 38, 810
19, 405

∴ So the LCM of the given numbers is 2 x 2 x 19 x 405 = 30780

Least Common Multiple of 76,1620 with GCF Formula

Least Common Multiple of 76,1620 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 76,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,1620) = 4

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

GCF(76,1620) x common factors =4 x 1 = 4

LCM(76,1620) = ( 76 × 1620 ) / 4

LCM(76,1620) = 123120 / 4

LCM(76,1620) = 30780


Lets's calculate GCF of 112,6233

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30780/1

Therefore the LCM of Fractions 76/112,1620/6233 is 30780

Greatest Common Factor of 112,6233 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,6233 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 6233

List of positive integer factors of 6233 that divides 6233 without a remainder.

1,23,271,6233

Greatest Common Factor

We found the factors 112,6233 . The biggest common factor number is the GCF number.
So the greatest common factor 112,6233 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/112, 1620/6233

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 76/112, 1620/6233?

Answer: LCM of Numerators as per given numbers 76/112, 1620/6233 is

LCM of Numerators i.e. for 76,1620 is 30780

GCF of denominators i.e. for 112,6233 is 1.

Thus, LCM of Fractions is 30780.Finally, LCM of Fractions for 76/112, 1620/6233 is 30780.