Least Common Multiple of 622/822, 7262/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 622/822, 7262/516 quickly i.e. 2258482/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 622/822, 7262/516 is 2258482/6.

LCM(622/822, 7262/516) = 2258482/6

LCM of 622/822, 7262/516

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 622/822,7262/516

Given numbers are 622/822,7262/516

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 622,7262

Least Common Multiple of Numerators i.e. LCM of 622,7262 is 2258482.

GCF of Denominators means GCF of 822,516 as per the given fractions.

GCF of 822,516 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 622,7262

LCM of Fractions 622/822,7262/516 is 2258482/6

2 622, 7262
311, 3631

∴ So the LCM of the given numbers is 2 x 311 x 3631 = 2258482

Least Common Multiple of 622,7262 with GCF Formula

Least Common Multiple of 622,7262 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 622,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,7262) = 2

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

GCF(622,7262) x common factors =2 x 1 = 2

LCM(622,7262) = ( 622 × 7262 ) / 2

LCM(622,7262) = 4516964 / 2

LCM(622,7262) = 2258482


Lets's calculate GCF of 822,516

2 822, 516
3 411, 258
137, 86

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2258482/6

Therefore the LCM of Fractions 622/822,7262/516 is 2258482/6

Greatest Common Factor of 822,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,516 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 822,516 . The biggest common factor number is the GCF number.
So the greatest common factor 822,516 is 6.


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 622/822, 7262/516

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 622/822, 7262/516?

Answer: LCM of Numerators as per given numbers 622/822, 7262/516 is

LCM of Numerators i.e. for 622,7262 is 2258482

GCF of denominators i.e. for 822,516 is 6.

Thus, LCM of Fractions is 2258482/6.Finally, LCM of Fractions for 622/822, 7262/516 is 2258482/6.