Least Common Multiple of 448, 462, 642, 609

Q: How to Find the LCM of 448, 462, 642, 609 ?

Least Common Multiple of 448, 462, 642, 609 = 45874752 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(448, 462, 642, 609) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 29 x 107 = 45874752.

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 448, 462, 642, 609 i.e. 45874752 smallest integer divisible by all numbers.

Least common multiple (LCM) of 448, 462, 642, 609 is 45874752.

LCM(448, 462, 642, 609) = 45874752

LCM of 448, 462, 642, 609

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

Least Common Multiple of 448, 462, 642, 609 by common division method
Least Common Multiple of 448, 462, 642, 609 with GCF Formula

Least Common Multiple of 448,462,642,609

Least Common Multiple (LCM) of 448,462,642,609 is 45874752

2	448, 462, 642, 609
3	224, 231, 321, 609
7	224, 77, 107, 203
	32, 11, 107, 29

∴ So the LCM of the given numbers is 2 x 3 x 7 x 32 x 11 x 107 x 29 = 45874752

Least Common Multiple of 448,462,642,609 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 448,462,642,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,462,642,609) = 1

common factors(in case of two or more numbers have common factors) = 1764

GCF(448,462,642,609) x common factors =1 x 1764 = 1764

LCM(448,462,642,609) = ( 448 × 462 × 642 × 609 ) / 1764

LCM(448,462,642,609) = 80923062528 / 1764

LCM(448,462,642,609) = 45874752

∴ Least Common Multiple of 448,462,642,609 is 45874752

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 448, 462, 642, 609

1. What is the LCM of 448, 462, 642, 609?

Answer: LCM of 448, 462, 642, 609 is 45874752.

2. What are the Factors of 45874752?

Answer: Factors of 45874752 are . There are integers that are factors of 45874752

3. How to Find the LCM of 448, 462, 642, 609 ?

Least Common Multiple of 448, 462, 642, 609.

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(448, 462, 642, 609) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 29 x 107 = 45874752.