Least Common Multiple of 192, 1542

Q: How to Find the LCM of 192, 1542 ?

Least Common Multiple of 192, 1542 = 49344 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(192, 1542) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 257 = 49344.

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 192, 1542 i.e. 49344 smallest integer divisible by all numbers.

Least common multiple (LCM) of 192, 1542 is 49344.

LCM(192, 1542) = 49344

LCM of 192, 1542

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

Least Common Multiple of 192, 1542 by common division method
Least Common Multiple of 192, 1542 with GCF Formula

Least Common Multiple of 192,1542

Least Common Multiple (LCM) of 192,1542 is 49344

2	192, 1542
3	96, 771
	32, 257

∴ So the LCM of the given numbers is 2 x 3 x 32 x 257 = 49344

Least Common Multiple of 192,1542 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 192,1542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,1542) = 6

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

GCF(192,1542) x common factors =6 x 1 = 6

LCM(192,1542) = ( 192 × 1542 ) / 6

LCM(192,1542) = 296064 / 6

LCM(192,1542) = 49344

∴ Least Common Multiple of 192,1542 is 49344

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 192, 1542

1. What is the LCM of 192, 1542?

Answer: LCM of 192, 1542 is 49344.

2. What are the Factors of 49344?

Answer: Factors of 49344 are . There are integers that are factors of 49344

3. How to Find the LCM of 192, 1542 ?

Least Common Multiple of 192, 1542.

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(192, 1542) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 257 = 49344.