Least Common Multiple of 7489/847, 8260/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7489/847, 8260/828 quickly i.e. 61859140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7489/847, 8260/828 is 61859140.

LCM(7489/847, 8260/828) = 61859140

LCM of 7489/847, 8260/828

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 7489/847,8260/828

Given numbers are 7489/847,8260/828

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 7489,8260

Least Common Multiple of Numerators i.e. LCM of 7489,8260 is 61859140.

GCF of Denominators means GCF of 847,828 as per the given fractions.

GCF of 847,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7489,8260

LCM of Fractions 7489/847,8260/828 is 61859140

Given numbers has no common factors except 1. So, there LCM is their product i.e 61859140

Least Common Multiple of 7489,8260 with GCF Formula

Least Common Multiple of 7489,8260 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 7489,8260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7489,8260) = 1

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

GCF(7489,8260) x common factors =1 x 1 = 1

LCM(7489,8260) = ( 7489 × 8260 ) / 1

LCM(7489,8260) = 61859140 / 1

LCM(7489,8260) = 61859140


Lets's calculate GCF of 847,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61859140/1

Therefore the LCM of Fractions 7489/847,8260/828 is 61859140

Greatest Common Factor of 847,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,828 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 847,828 . The biggest common factor number is the GCF number.
So the greatest common factor 847,828 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 7489/847, 8260/828

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 7489/847, 8260/828?

Answer: LCM of Numerators as per given numbers 7489/847, 8260/828 is

LCM of Numerators i.e. for 7489,8260 is 61859140

GCF of denominators i.e. for 847,828 is 1.

Thus, LCM of Fractions is 61859140.Finally, LCM of Fractions for 7489/847, 8260/828 is 61859140.