Least Common Multiple of 822/16, 253/8872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/16, 253/8872 quickly i.e. 207966/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/16, 253/8872 is 207966/8.

LCM(822/16, 253/8872) = 207966/8

LCM of 822/16, 253/8872

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 822/16,253/8872

Given numbers are 822/16,253/8872

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 822,253

Least Common Multiple of Numerators i.e. LCM of 822,253 is 207966.

GCF of Denominators means GCF of 16,8872 as per the given fractions.

GCF of 16,8872 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,253

LCM of Fractions 822/16,253/8872 is 207966/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 207966

Least Common Multiple of 822,253 with GCF Formula

Least Common Multiple of 822,253 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 822,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,253) = 1

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

GCF(822,253) x common factors =1 x 1 = 1

LCM(822,253) = ( 822 × 253 ) / 1

LCM(822,253) = 207966 / 1

LCM(822,253) = 207966


Lets's calculate GCF of 16,8872

2 16, 8872
2 8, 4436
2 4, 2218
2, 1109

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207966/8

Therefore the LCM of Fractions 822/16,253/8872 is 207966/8

Greatest Common Factor of 16,8872 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,8872 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1,2,4,8,1109,2218,4436,8872

Greatest Common Factor

We found the factors 16,8872 . The biggest common factor number is the GCF number.
So the greatest common factor 16,8872 is 8.


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 822/16, 253/8872

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 822/16, 253/8872?

Answer: LCM of Numerators as per given numbers 822/16, 253/8872 is

LCM of Numerators i.e. for 822,253 is 207966

GCF of denominators i.e. for 16,8872 is 8.

Thus, LCM of Fractions is 207966/8.Finally, LCM of Fractions for 822/16, 253/8872 is 207966/8.