Least Common Multiple of 822, 228

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, 228 i.e. 31236 smallest integer divisible by all numbers.

Least common multiple (LCM) of 822, 228 is 31236.

LCM(822, 228) = 31236

LCM of 822, 228

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

LCM of:

Least Common Multiple of 822,228

Least Common Multiple (LCM) of 822,228 is 31236

2 822, 228
3 411, 114
137, 38

∴ So the LCM of the given numbers is 2 x 3 x 137 x 38 = 31236

Least Common Multiple of 822,228 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 822,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,228) = 6

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

GCF(822,228) x common factors =6 x 1 = 6

LCM(822,228) = ( 822 × 228 ) / 6

LCM(822,228) = 187416 / 6

LCM(822,228) = 31236

∴ Least Common Multiple of 822,228 is 31236

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 822, 228

1. What is the LCM of 822, 228?

Answer: LCM of 822, 228 is 31236.

2. What are the Factors of 31236?

Answer: Factors of 31236 are . There are integers that are factors of 31236

3. How to Find the LCM of 822, 228 ?

Least Common Multiple of 822, 228.

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, 228) = 2 x 2 x 3 x 19 x 137 = 31236.