Least Common Multiple of 7663/463, 9830/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7663/463, 9830/276 quickly i.e. 75327290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7663/463, 9830/276 is 75327290.

LCM(7663/463, 9830/276) = 75327290

LCM of 7663/463, 9830/276

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 7663/463,9830/276

Given numbers are 7663/463,9830/276

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 7663,9830

Least Common Multiple of Numerators i.e. LCM of 7663,9830 is 75327290.

GCF of Denominators means GCF of 463,276 as per the given fractions.

GCF of 463,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7663,9830

LCM of Fractions 7663/463,9830/276 is 75327290

Given numbers has no common factors except 1. So, there LCM is their product i.e 75327290

Least Common Multiple of 7663,9830 with GCF Formula

Least Common Multiple of 7663,9830 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 7663,9830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7663,9830) = 1

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

GCF(7663,9830) x common factors =1 x 1 = 1

LCM(7663,9830) = ( 7663 × 9830 ) / 1

LCM(7663,9830) = 75327290 / 1

LCM(7663,9830) = 75327290


Lets's calculate GCF of 463,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75327290/1

Therefore the LCM of Fractions 7663/463,9830/276 is 75327290

Greatest Common Factor of 463,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,276 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 463,276 . The biggest common factor number is the GCF number.
So the greatest common factor 463,276 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 7663/463, 9830/276

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 7663/463, 9830/276?

Answer: LCM of Numerators as per given numbers 7663/463, 9830/276 is

LCM of Numerators i.e. for 7663,9830 is 75327290

GCF of denominators i.e. for 463,276 is 1.

Thus, LCM of Fractions is 75327290.Finally, LCM of Fractions for 7663/463, 9830/276 is 75327290.