Least Common Multiple of 7488/883, 1946/4463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7488/883, 1946/4463 quickly i.e. 7285824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7488/883, 1946/4463 is 7285824.

LCM(7488/883, 1946/4463) = 7285824

LCM of 7488/883, 1946/4463

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 7488/883,1946/4463

Given numbers are 7488/883,1946/4463

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 7488,1946

Least Common Multiple of Numerators i.e. LCM of 7488,1946 is 7285824.

GCF of Denominators means GCF of 883,4463 as per the given fractions.

GCF of 883,4463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7488,1946

LCM of Fractions 7488/883,1946/4463 is 7285824

2 7488, 1946
3744, 973

∴ So the LCM of the given numbers is 2 x 3744 x 973 = 7285824

Least Common Multiple of 7488,1946 with GCF Formula

Least Common Multiple of 7488,1946 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 7488,1946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7488,1946) = 2

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

GCF(7488,1946) x common factors =2 x 1 = 2

LCM(7488,1946) = ( 7488 × 1946 ) / 2

LCM(7488,1946) = 14571648 / 2

LCM(7488,1946) = 7285824


Lets's calculate GCF of 883,4463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7285824/1

Therefore the LCM of Fractions 7488/883,1946/4463 is 7285824

Greatest Common Factor of 883,4463 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,4463 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 4463

List of positive integer factors of 4463 that divides 4463 without a remainder.

1,4463

Greatest Common Factor

We found the factors 883,4463 . The biggest common factor number is the GCF number.
So the greatest common factor 883,4463 is 1.


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 7488/883, 1946/4463

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 7488/883, 1946/4463?

Answer: LCM of Numerators as per given numbers 7488/883, 1946/4463 is

LCM of Numerators i.e. for 7488,1946 is 7285824

GCF of denominators i.e. for 883,4463 is 1.

Thus, LCM of Fractions is 7285824.Finally, LCM of Fractions for 7488/883, 1946/4463 is 7285824.