Least Common Multiple of 623/82, 882/7627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/82, 882/7627 quickly i.e. 78498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/82, 882/7627 is 78498.

LCM(623/82, 882/7627) = 78498

LCM of 623/82, 882/7627

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 623/82,882/7627

Given numbers are 623/82,882/7627

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 623,882

Least Common Multiple of Numerators i.e. LCM of 623,882 is 78498.

GCF of Denominators means GCF of 82,7627 as per the given fractions.

GCF of 82,7627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,882

LCM of Fractions 623/82,882/7627 is 78498

7 623, 882
89, 126

∴ So the LCM of the given numbers is 7 x 89 x 126 = 78498

Least Common Multiple of 623,882 with GCF Formula

Least Common Multiple of 623,882 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 623,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,882) = 7

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

GCF(623,882) x common factors =7 x 1 = 7

LCM(623,882) = ( 623 × 882 ) / 7

LCM(623,882) = 549486 / 7

LCM(623,882) = 78498


Lets's calculate GCF of 82,7627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78498/1

Therefore the LCM of Fractions 623/82,882/7627 is 78498

Greatest Common Factor of 82,7627 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,7627 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1,29,263,7627

Greatest Common Factor

We found the factors 82,7627 . The biggest common factor number is the GCF number.
So the greatest common factor 82,7627 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 623/82, 882/7627

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 623/82, 882/7627?

Answer: LCM of Numerators as per given numbers 623/82, 882/7627 is

LCM of Numerators i.e. for 623,882 is 78498

GCF of denominators i.e. for 82,7627 is 1.

Thus, LCM of Fractions is 78498.Finally, LCM of Fractions for 623/82, 882/7627 is 78498.