Least Common Multiple of 19, 48, 51, 488

Q: How to Find the LCM of 19, 48, 51, 488 ?

Least Common Multiple of 19, 48, 51, 488 = 945744 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(19, 48, 51, 488) = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 61 = 945744.

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 19, 48, 51, 488 i.e. 945744 smallest integer divisible by all numbers.

Least common multiple (LCM) of 19, 48, 51, 488 is 945744.

LCM(19, 48, 51, 488) = 945744

LCM of 19, 48, 51, 488

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

Least Common Multiple of 19, 48, 51, 488 by common division method
Least Common Multiple of 19, 48, 51, 488 with GCF Formula

Least Common Multiple of 19,48,51,488

Least Common Multiple (LCM) of 19,48,51,488 is 945744

2	19, 48, 51, 488
2	19, 24, 51, 244
2	19, 12, 51, 122
3	19, 6, 51, 61
	19, 2, 17, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 2 x 17 x 61 = 945744

Least Common Multiple of 19,48,51,488 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 19,48,51,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,48,51,488) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(19,48,51,488) x common factors =1 x 24 = 24

LCM(19,48,51,488) = ( 19 × 48 × 51 × 488 ) / 24

LCM(19,48,51,488) = 22697856 / 24

LCM(19,48,51,488) = 945744

∴ Least Common Multiple of 19,48,51,488 is 945744

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 19, 48, 51, 488

1. What is the LCM of 19, 48, 51, 488?

Answer: LCM of 19, 48, 51, 488 is 945744.

2. What are the Factors of 945744?

Answer: Factors of 945744 are . There are integers that are factors of 945744

3. How to Find the LCM of 19, 48, 51, 488 ?

Least Common Multiple of 19, 48, 51, 488.

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(19, 48, 51, 488) = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 61 = 945744.