Least Common Multiple of 822, 1896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 822, 1896 i.e. 259752 smallest integer divisible by all numbers.

Least common multiple (LCM) of 822, 1896 is 259752.

LCM(822, 1896) = 259752

LCM of 822, 1896

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 822,1896

Least Common Multiple (LCM) of 822,1896 is 259752

2 822, 1896
3 411, 948
137, 316

∴ So the LCM of the given numbers is 2 x 3 x 137 x 316 = 259752

Least Common Multiple of 822,1896 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 822,1896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,1896) = 6

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

GCF(822,1896) x common factors =6 x 1 = 6

LCM(822,1896) = ( 822 × 1896 ) / 6

LCM(822,1896) = 1558512 / 6

LCM(822,1896) = 259752

∴ Least Common Multiple of 822,1896 is 259752

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 822, 1896

1. What is the LCM of 822, 1896?

Answer: LCM of 822, 1896 is 259752.

2. What are the Factors of 259752?

Answer: Factors of 259752 are . There are integers that are factors of 259752

3. How to Find the LCM of 822, 1896 ?

Least Common Multiple of 822, 1896.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(822, 1896) = 2 x 2 x 2 x 3 x 79 x 137 = 259752.