Least Common Multiple of 8295/819, 7026/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8295/819, 7026/532 quickly i.e. 2775270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8295/819, 7026/532 is 2775270.

LCM(8295/819, 7026/532) = 2775270

LCM of 8295/819, 7026/532

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 8295/819,7026/532

Given numbers are 8295/819,7026/532

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 8295,7026

Least Common Multiple of Numerators i.e. LCM of 8295,7026 is 19426890.

GCF of Denominators means GCF of 819,532 as per the given fractions.

GCF of 819,532 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8295,7026

LCM of Fractions 8295/819,7026/532 is 2775270

3 8295, 7026
2765, 2342

∴ So the LCM of the given numbers is 3 x 2765 x 2342 = 19426890

Least Common Multiple of 8295,7026 with GCF Formula

Least Common Multiple of 8295,7026 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 8295,7026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8295,7026) = 3

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

GCF(8295,7026) x common factors =3 x 1 = 3

LCM(8295,7026) = ( 8295 × 7026 ) / 3

LCM(8295,7026) = 58280670 / 3

LCM(8295,7026) = 19426890


Lets's calculate GCF of 819,532

7 819, 532
117, 76

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19426890/7

Therefore the LCM of Fractions 8295/819,7026/532 is 2775270

Greatest Common Factor of 819,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,532 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 819,532 . The biggest common factor number is the GCF number.
So the greatest common factor 819,532 is 7.


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 8295/819, 7026/532

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 8295/819, 7026/532?

Answer: LCM of Numerators as per given numbers 8295/819, 7026/532 is

LCM of Numerators i.e. for 8295,7026 is 19426890

GCF of denominators i.e. for 819,532 is 7.

Thus, LCM of Fractions is 2775270.Finally, LCM of Fractions for 8295/819, 7026/532 is 2775270.